﻿36:@0.058194:0.966765:0.075166:0.966765:0.075166:0.950778:0.058194:0.950778:0.000000:0.000000
Este es uno de los tópicos más importantes de la teoría de probabili-:@0.404236:0.135399:0.891857:0.135399:0.891857:0.118902:0.404236:0.118902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dad. La idea principal es la siguiente::@0.404236:0.152750:0.658632:0.152750:0.658632:0.136252:0.404236:0.136252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Considera un evento S y un suceso   :@0.404236:0.187452:0.673486:0.187452:0.673486:0.170954:0.404236:0.170954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.658073:0.187567:0.669344:0.187567:0.669344:0.171099:0.658073:0.171099:0.000000
 :@0.673900:0.186933:0.692950:0.186933:0.692950:0.173560:0.673900:0.173560:0.000000:0.000000
S:@0.693327:0.187567:0.701207:0.187567:0.701207:0.171099:0.693327:0.171099:0.000000
 del que se tiene una infor-:@0.701207:0.187452:0.891779:0.187452:0.891779:0.170954:0.701207:0.170954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mación suplementaria. La :@0.404252:0.204802:0.592512:0.204802:0.592512:0.188305:0.404252:0.188305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
probabilidad:@0.593418:0.205019:0.688124:0.205019:0.688124:0.188305:0.593418:0.188305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de este :@0.688106:0.204802:0.748443:0.204802:0.748443:0.188305:0.688106:0.188305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
evento:@0.749349:0.205019:0.800036:0.205019:0.800036:0.188305:0.749349:0.188305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 con la infor-:@0.800018:0.204802:0.891779:0.204802:0.891779:0.188305:0.800018:0.188305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mación suplementaria modifica el valor de la probabilidad del evento. :@0.404252:0.222153:0.895975:0.222153:0.895975:0.205655:0.404252:0.205655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Analicemos el siguiente ejemplo.:@0.404252:0.256855:0.631411:0.256855:0.631411:0.240357:0.404252:0.240357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En nuestro tradicional juego del :@0.404252:0.291556:0.635551:0.291556:0.635551:0.275058:0.404252:0.275058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuarenta:@0.404252:0.309023:0.466072:0.309023:0.466072:0.292554:0.404252:0.292554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, se dispone de 40 car-:@0.466074:0.308907:0.631389:0.308907:0.631389:0.292409:0.466074:0.292409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tas separadas en 3 grupos: as  :@0.404252:0.326258:0.635531:0.326258:0.635531:0.309760:0.404252:0.309760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(4 cartas), figuras  ,  ,   (12 car-:@0.404252:0.343608:0.631389:0.343608:0.631389:0.327111:0.404252:0.327111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
J Q K:@0.530979:0.343724:0.572476:0.343724:0.572476:0.327255:0.530979:0.327255:0.000000:0.000000:0.000000:0.000000:0.000000
tas), y números 2, 3, 4, 5, 6, 7 (24 :@0.404252:0.360959:0.635530:0.360959:0.635530:0.344461:0.404252:0.344461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cartas). Se excluyen en este jue-:@0.404252:0.378310:0.631407:0.378310:0.631407:0.361812:0.404252:0.361812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
go las cartas de números 8, 9, 10 :@0.404252:0.395661:0.635585:0.395661:0.635585:0.379163:0.404252:0.379163:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(12 en total).:@0.404252:0.413011:0.495184:0.413011:0.495184:0.396514:0.404252:0.396514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si se conoce que la carta seleccionada es una figura, la probabilidad :@0.404252:0.447713:0.895975:0.447713:0.895975:0.431215:0.404252:0.431215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de sacar una J es         y no         . Nota que el evento   es sacar una carta  ,:@0.404252:0.465064:0.891950:0.465064:0.891950:0.448566:0.404252:0.448566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.745014:0.465179:0.756284:0.465179:0.756284:0.448711:0.745014:0.448711:0.000000
J:@0.885150:0.465179:0.889195:0.465179:0.889195:0.448711:0.885150:0.448711:0.000000
sabiendo que es una figura, o sea, el evento   (existen 12 figuras en el :@0.404252:0.482414:0.895992:0.482414:0.895992:0.465917:0.404252:0.465917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.713839:0.482530:0.723029:0.482530:0.723029:0.466061:0.713839:0.466061:0.000000
evento  ).:@0.404252:0.499765:0.475437:0.499765:0.475437:0.483268:0.404252:0.483268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.457540:0.499881:0.466729:0.499881:0.466729:0.483412:0.457540:0.483412:0.000000
Por otro lado, en esta clase de cálculos se deben tener presentes pro-:@0.404252:0.534467:0.891848:0.534467:0.891848:0.517969:0.404252:0.517969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
piedades de las operaciones con sucesos, es decir, operaciones con :@0.404252:0.551817:0.895853:0.551817:0.895853:0.535320:0.404252:0.535320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjuntos (unión, intersección, diferencia) y propiedades básicas. :@0.404252:0.569168:0.868136:0.569168:0.868136:0.552671:0.404252:0.552671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
También se debe tomar en cuenta que la función de probabilidad es :@0.404252:0.603870:0.895938:0.603870:0.895938:0.587372:0.404252:0.587372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una función aditiva de conjunto. En consecuencia, si  ,   son dos :@0.404252:0.621220:0.895905:0.621219:0.895905:0.604722:0.404252:0.604723:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C C:@0.790846:0.621336:0.824271:0.621335:0.824271:0.604866:0.790846:0.604867:0.000000:0.000000:0.000000
1:@0.800899:0.624497:0.805853:0.624497:0.805853:0.614879:0.800899:0.614879:0.000000
2:@0.824276:0.624497:0.829229:0.624497:0.829229:0.614879:0.824276:0.614879:0.000000
eventos de  , se verifica::@0.404236:0.638570:0.572726:0.638570:0.572726:0.622072:0.404236:0.622072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.485784:0.638686:0.493664:0.638686:0.493664:0.622217:0.485784:0.622217:0.000000
p C:@0.506496:0.656036:0.531753:0.656036:0.531753:0.639568:0.506496:0.639568:0.000000:0.000000:0.000000
(     ) =  ( ) +  ( ) –  (     ).:@0.515763:0.655921:0.789511:0.655921:0.789511:0.639423:0.515763:0.639423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.531752:0.659199:0.536705:0.659199:0.536705:0.649581:0.531752:0.649581:0.000000
:@0.540848:0.655704:0.556896:0.655704:0.556896:0.641057:0.540848:0.641057:0.000000
C:@0.561038:0.656036:0.571075:0.656036:0.571075:0.639568:0.561038:0.639568:0.000000
2:@0.571075:0.659199:0.576028:0.659199:0.576028:0.649581:0.571075:0.649581:0.000000
p C:@0.601072:0.656036:0.626329:0.656036:0.626329:0.639568:0.601072:0.639568:0.000000:0.000000:0.000000
1:@0.626328:0.659199:0.631281:0.659199:0.631281:0.649581:0.626328:0.649581:0.000000
p C:@0.656326:0.656036:0.681583:0.656036:0.681583:0.639568:0.656326:0.639568:0.000000:0.000000:0.000000
2:@0.681582:0.659199:0.686535:0.659199:0.686535:0.649581:0.681582:0.649581:0.000000
p C:@0.711272:0.656036:0.736529:0.656036:0.736529:0.639568:0.711272:0.639568:0.000000:0.000000:0.000000
1:@0.736528:0.659199:0.741482:0.659199:0.741482:0.649581:0.736528:0.649581:0.000000
:@0.745622:0.655704:0.761670:0.655704:0.761670:0.641057:0.745622:0.641057:0.000000
C:@0.765812:0.656036:0.775850:0.656036:0.775850:0.639568:0.765812:0.639568:0.000000
2:@0.775850:0.659199:0.780803:0.659199:0.780803:0.649581:0.775850:0.649581:0.000000
 :@0.404245:0.673271:0.408387:0.673271:0.408387:0.656774:0.404245:0.656774:0.000000
Se dice que los :@0.404245:0.690622:0.520221:0.690622:0.520221:0.674125:0.404245:0.674125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
eventos son mutuamente excluyentes:@0.522552:0.690839:0.808349:0.690839:0.808349:0.674125:0.522552:0.674125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 si y solo si :@0.808353:0.690622:0.895894:0.690622:0.895894:0.674125:0.808353:0.674125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.891752:0.690622:0.895894:0.690622:0.895894:0.674125:0.891752:0.674125:0.000000
p C:@0.404245:0.708089:0.429501:0.708089:0.429501:0.691620:0.404245:0.691620:0.000000:0.000000:0.000000
(     ) = 0. De esta igualdad, se obtiene::@0.413511:0.707973:0.714924:0.707973:0.714924:0.691475:0.413511:0.691475:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.429492:0.711251:0.434445:0.711251:0.434445:0.701633:0.429492:0.701633:0.000000
:@0.438588:0.707756:0.454636:0.707756:0.454636:0.693109:0.438588:0.693109:0.000000
C:@0.458778:0.708089:0.468815:0.708089:0.468815:0.691620:0.458778:0.691620:0.000000
2:@0.468815:0.711251:0.473768:0.711251:0.473768:0.701633:0.468815:0.701633:0.000000
p C:@0.553621:0.725439:0.578878:0.725439:0.578878:0.708971:0.553621:0.708971:0.000000:0.000000:0.000000
(     ) =  ( ) +  ( ).:@0.562888:0.725324:0.742377:0.725324:0.742377:0.708826:0.562888:0.708826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.578887:0.728602:0.583840:0.728602:0.583840:0.718984:0.578887:0.718984:0.000000
:@0.587982:0.725107:0.604030:0.725107:0.604030:0.710460:0.587982:0.710460:0.000000
C:@0.608172:0.725439:0.618210:0.725439:0.618210:0.708971:0.608172:0.708971:0.000000
2:@0.618208:0.728602:0.623161:0.728602:0.623161:0.718984:0.618208:0.718984:0.000000
p C:@0.648206:0.725439:0.673463:0.725439:0.673463:0.708971:0.648206:0.708971:0.000000:0.000000:0.000000
1:@0.673462:0.728602:0.678415:0.728602:0.678415:0.718984:0.673462:0.718984:0.000000
p C:@0.703461:0.725439:0.728718:0.725439:0.728718:0.708971:0.703461:0.708971:0.000000:0.000000:0.000000
2:@0.728715:0.728602:0.733668:0.728602:0.733668:0.718984:0.728715:0.718984:0.000000
Definición:@0.404233:0.760488:0.484316:0.760488:0.484316:0.743542:0.404233:0.743542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Sea  un espacio muestral, y  ,   dos eventos de  . La :@0.484318:0.760025:0.895898:0.760025:0.895898:0.743528:0.484318:0.743528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S :@0.523292:0.760141:0.535314:0.760141:0.535314:0.743672:0.523292:0.743672:0.000000:0.000000
A B:@0.706522:0.760141:0.735807:0.760141:0.735807:0.743672:0.706522:0.743672:0.000000:0.000000:0.000000
S:@0.858852:0.760141:0.866732:0.760141:0.866732:0.743672:0.858852:0.743672:0.000000
probabilidad condicional:@0.404252:0.777593:0.589418:0.777593:0.589418:0.760878:0.404252:0.760878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 del evento   dado el evento   con proba-:@0.589410:0.777376:0.891779:0.777376:0.891779:0.760878:0.589410:0.760878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.672981:0.777492:0.684251:0.777492:0.684251:0.761023:0.672981:0.761023:0.000000
B:@0.799284:0.777492:0.808474:0.777492:0.808474:0.761023:0.799284:0.761023:0.000000
bilidad  ( ) > 0 está definida como::@0.404252:0.794727:0.658126:0.794727:0.658126:0.778229:0.404252:0.778229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p B:@0.456769:0.794842:0.481178:0.794842:0.481178:0.778374:0.456769:0.778374:0.000000:0.000000:0.000000
p A B:@0.568219:0.825770:0.617191:0.825770:0.617191:0.809301:0.568219:0.809301:0.000000:0.000000:0.000000:0.000000:0.000000
(  |  ) =                     .:@0.577485:0.825654:0.727831:0.825654:0.727831:0.809157:0.577485:0.809157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Con el ejemplo del juego del cuarenta:       =  ,:@0.404252:0.860356:0.758209:0.860356:0.758209:0.843858:0.404252:0.843858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.680300:0.860472:0.691570:0.860472:0.691570:0.844003:0.680300:0.844003:0.000000
:@0.695712:0.860139:0.711760:0.860139:0.711760:0.845492:0.695712:0.845492:0.000000
B A:@0.715902:0.860472:0.755454:0.860472:0.755454:0.844003:0.715902:0.844003:0.000000:0.000000:0.000000
p A B:@0.548318:0.895173:0.597290:0.895173:0.597290:0.878704:0.548318:0.878704:0.000000:0.000000:0.000000:0.000000:0.000000
(  |  ) =                     =       .:@0.557584:0.895057:0.747732:0.895057:0.747732:0.878560:0.557584:0.878560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.525812:0.459045:0.534308:0.459045:0.534308:0.442547:0.525812:0.442547:0.000000
12:@0.521477:0.474126:0.538662:0.474126:0.538662:0.457628:0.521477:0.457628:0.000000:0.000000
4:@0.584314:0.459045:0.592810:0.459045:0.592810:0.442547:0.584314:0.442547:0.000000
40:@0.579980:0.474126:0.597164:0.474126:0.597164:0.457628:0.579980:0.457628:0.000000:0.000000
p A:@0.649778:0.818682:0.676267:0.818682:0.676267:0.802213:0.649778:0.802213:0.000000:0.000000:0.000000
(     ):@0.659044:0.818566:0.715742:0.818566:0.715742:0.802069:0.659044:0.802069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.680409:0.818350:0.696457:0.818350:0.696457:0.803703:0.680409:0.803703:0.000000
B:@0.700599:0.818682:0.709789:0.818682:0.709789:0.802213:0.700599:0.802213:0.000000
p B:@0.667579:0.835021:0.691988:0.835021:0.691988:0.818552:0.667579:0.818552:0.000000:0.000000:0.000000
( ):@0.676845:0.834905:0.697941:0.834905:0.697941:0.818407:0.676845:0.818407:0.000000:0.000000:0.000000
p A:@0.628026:0.887856:0.654516:0.887856:0.654516:0.871388:0.628026:0.871388:0.000000:0.000000:0.000000
(     ):@0.637293:0.887741:0.693991:0.887741:0.693991:0.871243:0.637293:0.871243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.658658:0.887524:0.674706:0.887524:0.674706:0.872877:0.658658:0.872877:0.000000
B:@0.678848:0.887856:0.688038:0.887856:0.688038:0.871388:0.678848:0.871388:0.000000
p B:@0.645828:0.904195:0.670237:0.904195:0.670237:0.887726:0.645828:0.887726:0.000000:0.000000:0.000000
( ):@0.655094:0.904079:0.676190:0.904079:0.676190:0.887582:0.655094:0.887582:0.000000:0.000000:0.000000
4:@0.728057:0.887741:0.736553:0.887741:0.736553:0.871243:0.728057:0.871243:0.000000
12:@0.723722:0.904079:0.740907:0.904079:0.740907:0.887582:0.723722:0.887582:0.000000:0.000000
Shutterstock, 154619981:@0.906922:0.390899:0.906922:0.322725:0.895453:0.322725:0.895453:0.390899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.841559:0.408859:0.853040:0.408859:0.853040:0.398835:0.841559:0.398835:0.000000
 :@0.853040:0.409567:0.855921:0.409567:0.855921:0.398090:0.853040:0.398090:0.000000
Barajas.:@0.855921:0.409567:0.891771:0.409567:0.891771:0.398090:0.855921:0.398090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Probabilidad condicional:@0.404235:0.109847:0.709748:0.109847:0.709748:0.065187:0.404235:0.065187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.3.13. Reconocer experimentos en los que se requiere utilizar la probabilidad condicionada mediante el análisis de la dependencia de los eventos involucrados, y calcular la probabilidad :@0.143847:0.936077:0.895053:0.936077:0.895053:0.926035:0.143847:0.926035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de un evento sujeto a varias condiciones, aplicando el teorema de Bayes en la resolución de problemas.:@0.143847:0.944878:0.558227:0.944878:0.558227:0.934836:0.143847:0.934836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.3.17. Juzgar la validez de las soluciones obtenidas en los problemas que involucren el trabajo con probabilidades y variables aleatorias discretas dentro del contexto del problema.:@0.143847:0.953679:0.870448:0.953679:0.870448:0.943637:0.143847:0.943637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.199646:0.087692:0.307805:0.087692:0.307805:0.072220:0.199646:0.072220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué idea surge en tu :@0.199884:0.116320:0.343876:0.116320:0.343876:0.101257:0.199884:0.101257:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mente el momento que escu-:@0.153341:0.132162:0.346391:0.132162:0.346391:0.117099:0.153341:0.117099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
chas el término ‘probabilidad :@0.153341:0.148004:0.345774:0.148004:0.345774:0.132941:0.153341:0.132941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
condicionada’?:@0.153341:0.163846:0.249277:0.163846:0.249277:0.148783:0.153341:0.148783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.199646:0.206939:0.363493:0.206939:0.363493:0.191466:0.199646:0.191466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuándo dos eventos :@0.199884:0.235567:0.342484:0.235567:0.342484:0.220504:0.199884:0.220504:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son mutuamente excluyentes?:@0.153341:0.251409:0.350491:0.251409:0.350491:0.236346:0.153341:0.236346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Glosario:@0.199644:0.797163:0.267109:0.797163:0.267109:0.779480:0.199644:0.779480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
probabilidad: :@0.199880:0.823976:0.293143:0.823976:0.293143:0.808715:0.199880:0.808715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en un :@0.293143:0.823778:0.334268:0.823778:0.334268:0.808715:0.293143:0.808715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proceso aleatorio, razón entre el :@0.153337:0.839620:0.363976:0.839620:0.363976:0.824557:0.153337:0.824557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
número de casos favorables y el :@0.153337:0.855462:0.362637:0.855462:0.362637:0.840399:0.153337:0.840399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
número de casos posibles.:@0.153337:0.871304:0.323251:0.871304:0.323251:0.856241:0.153337:0.856241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
evento: :@0.153337:0.894473:0.206406:0.894473:0.206406:0.879212:0.153337:0.879212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
eventualidad, hecho  :@0.206406:0.894275:0.345065:0.894275:0.345065:0.879212:0.206406:0.879212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
imprevisto o que puede acaecer.:@0.153337:0.910117:0.359668:0.910117:0.359668:0.895054:0.153337:0.895054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.146908:0.800895:0.158313:0.799385:0.153110:0.777240:0.141706:0.778750:0.000000
c:@0.150290:0.811864:0.160889:0.810461:0.155807:0.788826:0.145207:0.790229:0.000000
b:@0.160665:0.804646:0.173379:0.802963:0.168247:0.781121:0.155534:0.782803:0.000000
Competencia :@0.199644:0.291324:0.297267:0.291324:0.297267:0.275851:0.199644:0.275851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.199644:0.303892:0.283707:0.303892:0.283707:0.288419:0.199644:0.288419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las operaciones con :@0.199880:0.328789:0.344432:0.328789:0.344432:0.313316:0.199880:0.313316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sucesos :@0.153337:0.344631:0.209870:0.344631:0.209870:0.329158:0.153337:0.329158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea   un conjunto referencial, :@0.153337:0.360050:0.347248:0.360050:0.347248:0.344987:0.153337:0.344987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
E:@0.179142:0.360156:0.186406:0.360156:0.186406:0.345119:0.179142:0.345119:0.000000
las partes de   se denotan  ( ). :@0.153337:0.375892:0.357151:0.375892:0.357151:0.360829:0.153337:0.360829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
E:@0.237451:0.375998:0.244716:0.375998:0.244716:0.360961:0.237451:0.360961:0.000000
P E:@0.324697:0.375998:0.345418:0.375998:0.345418:0.360961:0.324697:0.360961:0.000000:0.000000:0.000000
Las operaciones habituales con :@0.153337:0.391734:0.358381:0.391734:0.358381:0.376671:0.153337:0.376671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjuntos que se han trata-:@0.153337:0.407576:0.332191:0.407576:0.332191:0.392513:0.153337:0.392513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
do son: unión, intersección, :@0.153337:0.423418:0.334126:0.423418:0.334126:0.408355:0.153337:0.408355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diferencia, complemento, y :@0.153337:0.439260:0.332402:0.439260:0.332402:0.424197:0.153337:0.424197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diferencia simétrica.:@0.153337:0.455102:0.281180:0.455102:0.281180:0.440039:0.153337:0.440039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Así. Sean  ,      ( ), se han :@0.153337:0.478073:0.338833:0.478072:0.338833:0.463009:0.153337:0.463010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.214427:0.478179:0.239405:0.478179:0.239405:0.463142:0.214427:0.463142:0.000000:0.000000:0.000000
:@0.243192:0.477723:0.257147:0.477723:0.257147:0.464986:0.243192:0.464986:0.000000
P E:@0.260929:0.478177:0.281650:0.478177:0.281650:0.463141:0.260929:0.463141:0.000000:0.000000:0.000000
definido los conjuntos :@0.153348:0.493914:0.302652:0.493914:0.302652:0.478851:0.153348:0.478851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.153348:0.516990:0.163638:0.516990:0.163638:0.501954:0.153348:0.501954:0.000000
   :@0.163638:0.516885:0.185854:0.516885:0.185854:0.501822:0.163638:0.501822:0.000000:0.000000:0.000000
:@0.167420:0.516687:0.182073:0.516687:0.182073:0.503313:0.167420:0.503313:0.000000
B,  A   B,  A   B,:@0.185854:0.516990:0.289260:0.516990:0.289260:0.501954:0.185854:0.501954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.218361:0.516687:0.233013:0.516687:0.233013:0.503313:0.218361:0.503313:0.000000
\:@0.270111:0.516990:0.275423:0.516990:0.271891:0.501954:0.266579:0.501954:0.000000
A ,  A ∆ B.:@0.153342:0.532832:0.218033:0.532832:0.218033:0.517796:0.153342:0.517796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.163335:0.526988:0.168678:0.526988:0.168678:0.518221:0.163335:0.518221:0.000000
Sea   un espacio muestral, las :@0.153337:0.555697:0.347053:0.555697:0.347053:0.540634:0.153337:0.540634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.179142:0.555803:0.186336:0.555803:0.186336:0.540766:0.179142:0.540766:0.000000
operaciones con sucesos son las :@0.153337:0.571539:0.364979:0.571539:0.364979:0.556476:0.153337:0.556476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
operaciones conjuntistas prece-:@0.153337:0.587381:0.359387:0.587381:0.359387:0.572318:0.153337:0.572318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dentes. Así, sea  ,      ,:@0.153337:0.603223:0.310214:0.603222:0.310214:0.588159:0.153337:0.588160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.254003:0.603329:0.278981:0.603329:0.278981:0.588292:0.254003:0.588292:0.000000:0.000000:0.000000
:@0.282768:0.602873:0.296723:0.602873:0.296723:0.590137:0.282768:0.590137:0.000000
S:@0.300504:0.603328:0.307699:0.603328:0.307699:0.588291:0.300504:0.588291:0.000000
i):@0.153346:0.626391:0.162968:0.626391:0.162968:0.611130:0.153346:0.611130:0.000000:0.000000
 :@0.162968:0.626193:0.166750:0.626193:0.166750:0.611130:0.162968:0.611130:0.000000
A:@0.174718:0.626299:0.185008:0.626299:0.185008:0.611262:0.174718:0.611262:0.000000
    es un suceso si y solo :@0.185008:0.626193:0.359588:0.626193:0.359588:0.611130:0.185008:0.611130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.188790:0.625995:0.203443:0.625995:0.203443:0.612622:0.188790:0.612622:0.000000
B :@0.207225:0.626299:0.219397:0.626299:0.219397:0.611262:0.207225:0.611262:0.000000:0.000000
si   o   ocurren.:@0.174718:0.642035:0.279729:0.642035:0.279729:0.626972:0.174718:0.626972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.187682:0.642141:0.222633:0.642141:0.222633:0.627104:0.187682:0.627104:0.000000:0.000000:0.000000
ii):@0.153346:0.658075:0.166856:0.658075:0.166856:0.642814:0.153346:0.642814:0.000000:0.000000:0.000000
 :@0.166856:0.657877:0.170637:0.657877:0.170637:0.642814:0.166856:0.642814:0.000000
A   B :@0.174718:0.657983:0.219397:0.657983:0.219397:0.642946:0.174718:0.642946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.188790:0.657679:0.203443:0.657679:0.203443:0.644306:0.188790:0.644306:0.000000
es un suceso si y solo :@0.219397:0.657877:0.359588:0.657877:0.359588:0.642814:0.219397:0.642814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si   y   ocurren.:@0.174718:0.673719:0.278165:0.673719:0.278165:0.658656:0.174718:0.658656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.187682:0.673825:0.221068:0.673825:0.221068:0.658788:0.187682:0.658788:0.000000:0.000000:0.000000
iii):@0.153346:0.689759:0.170743:0.689759:0.170743:0.674498:0.153346:0.674498:0.000000:0.000000:0.000000:0.000000
 :@0.170743:0.689561:0.174525:0.689561:0.174525:0.674498:0.170743:0.674498:0.000000
A   B :@0.174718:0.689667:0.209611:0.689665:0.209611:0.674629:0.174718:0.674630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
\:@0.189425:0.689665:0.194737:0.689665:0.191205:0.674629:0.185892:0.674629:0.000000
es un suceso si y solo si :@0.209523:0.689560:0.360569:0.689560:0.360569:0.674497:0.209523:0.674497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el suceso   ocurre pero no  .:@0.174712:0.705402:0.360129:0.705402:0.360129:0.690339:0.174712:0.690339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.235590:0.705507:0.245880:0.705507:0.245880:0.690471:0.235590:0.690471:0.000000
B:@0.349311:0.705507:0.357701:0.705507:0.357701:0.690471:0.349311:0.690471:0.000000
iv):@0.153341:0.721442:0.170508:0.721442:0.170508:0.706181:0.153341:0.706181:0.000000:0.000000:0.000000
 :@0.170508:0.721244:0.174290:0.721244:0.174290:0.706181:0.170508:0.706181:0.000000
A  :@0.174712:0.721349:0.193829:0.721349:0.193829:0.706313:0.174712:0.706313:0.000000:0.000000:0.000000
C:@0.184704:0.715506:0.190047:0.715506:0.190047:0.706740:0.184704:0.706740:0.000000
es un suceso que ocurre :@0.193829:0.721244:0.353859:0.721244:0.353859:0.706181:0.193829:0.706181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si y solo si el suceso   no :@0.174708:0.737086:0.339488:0.737086:0.339488:0.722023:0.174708:0.722023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.304097:0.737191:0.314387:0.737191:0.314387:0.722155:0.304097:0.722155:0.000000
ocurre.:@0.174708:0.752928:0.219651:0.752928:0.219651:0.737865:0.174708:0.737865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000