﻿42:@0.058194:0.966765:0.075166:0.966765:0.075166:0.950778:0.058194:0.950778:0.000000:0.000000
Probabilidad total y teorema de Bayes:@0.404235:0.125885:0.882281:0.125885:0.882281:0.081225:0.404235:0.081225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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 :@0.143643:0.940736:0.894375:0.940736:0.894375:0.930694:0.143643:0.930694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
probabilidad de un evento sujeto a varias condiciones, aplicando el teorema de Bayes en la resolución de problemas.:@0.143643:0.949537:0.645266:0.949537:0.645266:0.939495:0.143643:0.939495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.199646:0.112146:0.307805:0.112146:0.307805:0.096673:0.199646:0.096673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Quién fue Thomas :@0.199884:0.140773:0.330576:0.140773:0.330576:0.125710:0.199884:0.125710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Bayes?:@0.153341:0.156615:0.194220:0.156615:0.194220:0.141552:0.153341:0.141552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.199646:0.204146:0.363493:0.204146:0.363493:0.188674:0.199646:0.188674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la vida diaria, ¿qué :@0.199884:0.232775:0.340532:0.232775:0.340532:0.217712:0.199884:0.217712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
evento es condicionado por :@0.153341:0.248617:0.339529:0.248617:0.339529:0.233554:0.153341:0.233554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
otro? Explica con un ejemplo.:@0.153341:0.264459:0.344490:0.264459:0.344490:0.249396:0.153341:0.249396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Probabilidad total:@0.404236:0.172172:0.550400:0.172172:0.550400:0.154490:0.404236:0.154490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición:@0.404236:0.189343:0.484320:0.189343:0.484320:0.172397:0.404236:0.172397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. La probabilidad de un evento  , que puede ocurrir si :@0.484322:0.188880:0.895922:0.188880:0.895922:0.172382:0.484322:0.172382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.720341:0.188996:0.731611:0.188996:0.731611:0.172527:0.720341:0.172527:0.000000
los eventos :@0.404236:0.206231:0.488502:0.206231:0.488502:0.189733:0.404236:0.189733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B , B , … , B:@0.489369:0.206346:0.571287:0.206346:0.571287:0.189878:0.489369:0.189878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.498557:0.209576:0.503263:0.209576:0.503263:0.199975:0.498557:0.199975:0.000000
2:@0.521438:0.209576:0.526144:0.209576:0.526144:0.199975:0.521438:0.199975:0.000000
n:@0.571211:0.209576:0.576669:0.209576:0.576669:0.199975:0.571211:0.199975:0.000000
 son mutuamente excluyentes, tal es que su :@0.576669:0.206231:0.895909:0.206231:0.895909:0.189733:0.576669:0.189733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
unión es el espacio muestral (        …     =  ),  está dada por::@0.404245:0.223581:0.890427:0.223581:0.890427:0.207084:0.404245:0.207084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.614540:0.223697:0.623730:0.223697:0.623730:0.207228:0.614540:0.207228:0.000000
1:@0.623721:0.226927:0.628427:0.226927:0.628427:0.217326:0.623721:0.217326:0.000000
:@0.633693:0.223365:0.649741:0.223365:0.649741:0.208718:0.633693:0.208718:0.000000
B:@0.653883:0.223697:0.663072:0.223697:0.663072:0.207228:0.653883:0.207228:0.000000
2:@0.663072:0.226927:0.667779:0.226927:0.667779:0.217326:0.663072:0.217326:0.000000
:@0.671920:0.223365:0.687968:0.223365:0.687968:0.208718:0.671920:0.208718:0.000000
:@0.711298:0.223365:0.727346:0.223365:0.727346:0.208718:0.711298:0.208718:0.000000
B:@0.731488:0.223697:0.740678:0.223697:0.740678:0.207228:0.731488:0.207228:0.000000
n:@0.740599:0.226927:0.746058:0.226927:0.746058:0.217326:0.740599:0.217326:0.000000
S:@0.765149:0.223697:0.773028:0.223697:0.773028:0.207228:0.765149:0.207228:0.000000
p A:@0.404234:0.258399:0.430723:0.258399:0.430723:0.241930:0.404234:0.241930:0.000000:0.000000:0.000000
( ) =  ( )  (  |  ) +  ( )  (  |  ) + … +  ( )  (  |  ):@0.413500:0.258283:0.827416:0.258283:0.827416:0.241785:0.413500:0.241785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p B p A B:@0.455768:0.258399:0.544199:0.258399:0.544199:0.241930:0.455768:0.241930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.480178:0.261561:0.485131:0.261561:0.485131:0.251943:0.480178:0.251943:0.000000
1:@0.544197:0.261561:0.549151:0.261561:0.549151:0.251943:0.544197:0.251943:0.000000
p B p A B:@0.574194:0.258399:0.662623:0.258399:0.662623:0.241930:0.574194:0.241930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.598603:0.261561:0.603556:0.261561:0.603556:0.251943:0.598603:0.251943:0.000000
2:@0.662622:0.261561:0.667575:0.261561:0.667575:0.251943:0.662622:0.251943:0.000000
p B p A B:@0.726758:0.258399:0.815848:0.258399:0.815848:0.241930:0.726758:0.241930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.751165:0.261561:0.756781:0.261561:0.756781:0.251943:0.751165:0.251943:0.000000
n:@0.815848:0.261561:0.821464:0.261561:0.821464:0.251943:0.815848:0.251943:0.000000
p A:@0.404235:0.293100:0.430725:0.293100:0.430725:0.276631:0.404235:0.276631:0.000000:0.000000:0.000000
( ) =       ( )  (  |  )  donde  ( ) +  ( ) + … +  ( ) = 1.:@0.413502:0.292984:0.838802:0.292984:0.838802:0.276487:0.413502:0.276487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p B p A B:@0.476480:0.293100:0.562111:0.293100:0.562111:0.276631:0.476480:0.276631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.500831:0.296330:0.503043:0.296330:0.503043:0.286729:0.500831:0.286729:0.000000
i:@0.562050:0.296330:0.564263:0.296330:0.564263:0.286729:0.562050:0.286729:0.000000
p B:@0.629532:0.293100:0.653941:0.293100:0.653941:0.276631:0.629532:0.276631:0.000000:0.000000:0.000000
1:@0.653941:0.296262:0.658894:0.296262:0.658894:0.286644:0.653941:0.286644:0.000000
p B:@0.683939:0.293100:0.708348:0.293100:0.708348:0.276631:0.683939:0.276631:0.000000:0.000000:0.000000
2:@0.708347:0.296262:0.713301:0.296262:0.713301:0.286644:0.708347:0.286644:0.000000
p B:@0.772482:0.293100:0.796891:0.293100:0.796891:0.276631:0.772482:0.276631:0.000000:0.000000:0.000000
n:@0.796891:0.296262:0.802506:0.296262:0.802506:0.286644:0.796891:0.286644:0.000000
 :@0.404235:0.310335:0.408377:0.310335:0.408377:0.293838:0.404235:0.293838:0.000000
Ejercicio resuelto:@0.404235:0.335190:0.522214:0.335190:0.522214:0.318403:0.404235:0.318403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En una sala hay 2 bolsas con pelotas de pimpón, una contiene 7 blan-:@0.404235:0.352165:0.891814:0.352165:0.891814:0.335667:0.404235:0.335667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cas y 2 verdes, y la otra contiene 3 pelotas blancas y 8 verdes. Para :@0.404235:0.369516:0.895916:0.369516:0.895916:0.353018:0.404235:0.353018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
extraer las pelotas de las bolsas, lanzamos un dado. Si sale 2 o 4, ex-:@0.404235:0.386866:0.891762:0.386866:0.891762:0.370369:0.404235:0.370369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
traemos una pelota de la primera bolsa; caso contrario, extraemos :@0.404235:0.404217:0.895921:0.404217:0.895921:0.387720:0.404235:0.387720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una pelota de la segunda bolsa.:@0.404235:0.421568:0.627173:0.421568:0.627173:0.405070:0.404235:0.405070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuál es la probabilidad de que la pelota de pinpón extraída sea verde?:@0.404235:0.454766:0.891737:0.454766:0.891737:0.438268:0.404235:0.438268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se trata de un experimento compuesto. Como primer paso, hay que :@0.404235:0.487964:0.895919:0.487964:0.895919:0.471466:0.404235:0.471466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elegir la bolsa. Para ello se lanza el dado. :@0.404235:0.505314:0.689298:0.505314:0.689298:0.488817:0.404235:0.488817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.404235:0.539221:0.411999:0.539221:0.411999:0.522029:0.404235:0.522029:0.000000
  Si al lanzar el dado sale 2 o 4, sacamos de la bolsa 1::@0.411999:0.538512:0.790656:0.538512:0.790656:0.522014:0.411999:0.522014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404235:0.562991:0.408377:0.562991:0.408377:0.546493:0.404235:0.546493:0.000000
B:@0.427970:0.563107:0.437160:0.563107:0.437160:0.546638:0.427970:0.546638:0.000000
1:@0.437170:0.566253:0.442123:0.566253:0.442123:0.556635:0.437170:0.556635:0.000000
 = “elegir la bosa 1”, cuya probabilidad es:  ( ) =      =      .:@0.442122:0.562976:0.847998:0.562976:0.847998:0.546478:0.442122:0.546478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p B:@0.734466:0.563092:0.758875:0.563092:0.758875:0.546623:0.734466:0.546623:0.000000:0.000000:0.000000
1:@0.758874:0.566253:0.763828:0.566253:0.763828:0.556635:0.758874:0.556635:0.000000
•:@0.404242:0.588164:0.412006:0.588164:0.412006:0.570972:0.404242:0.570972:0.000000
  Si al lanzar el dado sale otro valor que no sea 2 o 4, sacamos de la:@0.412006:0.587455:0.888526:0.587455:0.888526:0.570957:0.412006:0.570957:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404242:0.611934:0.408384:0.611934:0.408384:0.595436:0.404242:0.595436:0.000000
bolsa 2:    = “elegir la bolsa 2”, cuya probabilidad es:  ( ) =      =      .:@0.427977:0.611934:0.891733:0.611933:0.891733:0.595435:0.427977:0.595436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.486387:0.612050:0.495577:0.612050:0.495577:0.595581:0.486387:0.595581:0.000000
2:@0.495396:0.615211:0.500349:0.615211:0.500349:0.605593:0.495396:0.605593:0.000000
p B:@0.785199:0.612048:0.809252:0.612048:0.809252:0.595580:0.785199:0.595580:0.000000:0.000000:0.000000
1:@0.809060:0.615211:0.814013:0.615211:0.814013:0.605593:0.809060:0.605593:0.000000
El experimento consiste en sacar una pelota de pinpón de la bolsa es-:@0.404245:0.646634:0.891771:0.646634:0.891771:0.630137:0.404245:0.630137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cogida.   = “sacar la pelota verde”. Las probabilidades conocidas son::@0.404245:0.663985:0.877827:0.663985:0.877827:0.647487:0.404245:0.647487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.457301:0.664101:0.468571:0.664101:0.468571:0.647632:0.457301:0.647632:0.000000
p A B:@0.404245:0.688580:0.453217:0.688580:0.453217:0.672111:0.404245:0.672111:0.000000:0.000000:0.000000:0.000000:0.000000
(  |  ) =       ;   y  (  |  ) =       .:@0.413511:0.688464:0.641282:0.688463:0.641282:0.671966:0.413511:0.671966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.453207:0.691809:0.457913:0.691809:0.457913:0.682208:0.453207:0.682208:0.000000
p A B:@0.534954:0.688579:0.583927:0.688579:0.583927:0.672110:0.534954:0.672110:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.583924:0.691809:0.588630:0.691809:0.588630:0.682208:0.583924:0.682208:0.000000
La probabilidad que pide  ( ) se representa en un diagrama de árbol.:@0.404242:0.723165:0.891799:0.723165:0.891799:0.706667:0.404242:0.706667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p A:@0.584388:0.723281:0.610877:0.723281:0.610877:0.706812:0.584388:0.706812:0.000000:0.000000:0.000000
∑:@0.457288:0.293248:0.472666:0.293248:0.472666:0.267425:0.457288:0.267425:0.000000
n:@0.462722:0.273882:0.468181:0.273882:0.468181:0.264281:0.462722:0.264281:0.000000
i:@0.458724:0.298943:0.460936:0.298943:0.460936:0.289342:0.458724:0.289342:0.000000
=1:@0.460936:0.298876:0.472190:0.298876:0.472190:0.289258:0.460936:0.289258:0.000000:0.000000
2:@0.486953:0.680632:0.495449:0.680632:0.495449:0.664134:0.486953:0.664134:0.000000
9:@0.486953:0.696970:0.495449:0.696970:0.495449:0.680473:0.486953:0.680473:0.000000
8:@0.620959:0.680632:0.629455:0.680632:0.629455:0.664134:0.620959:0.664134:0.000000
11:@0.616624:0.696970:0.633809:0.696970:0.633809:0.680473:0.616624:0.680473:0.000000:0.000000
2:@0.793272:0.555021:0.801768:0.555021:0.801768:0.538523:0.793272:0.538523:0.000000
6:@0.793272:0.571360:0.801768:0.571360:0.801768:0.554862:0.793272:0.554862:0.000000
1:@0.828888:0.555021:0.837384:0.555021:0.837384:0.538523:0.828888:0.538523:0.000000
3:@0.828888:0.571360:0.837384:0.571360:0.837384:0.554862:0.828888:0.554862:0.000000
4:@0.841140:0.604056:0.849636:0.604056:0.849636:0.587558:0.841140:0.587558:0.000000
6:@0.841140:0.620394:0.849636:0.620394:0.849636:0.603897:0.841140:0.603897:0.000000
2:@0.874119:0.604056:0.882615:0.604056:0.882615:0.587558:0.874119:0.587558:0.000000
3:@0.874119:0.620394:0.882615:0.620394:0.882615:0.603897:0.874119:0.603897:0.000000
Probabilidad de elegir :@0.494657:0.756802:0.638927:0.756802:0.638927:0.741738:0.494657:0.741738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una bolsa:@0.533619:0.772644:0.596169:0.772644:0.596169:0.757580:0.533619:0.757580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Probabilidad de extraer una pelota :@0.666389:0.756802:0.890146:0.756802:0.890146:0.741738:0.666389:0.741738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
blanca o verde en cada bolsa:@0.684770:0.772644:0.867967:0.772644:0.867967:0.757580:0.684770:0.757580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p A:@0.419266:0.850520:0.443453:0.850520:0.443453:0.835483:0.419266:0.835483:0.000000:0.000000:0.000000
( ):@0.427727:0.850415:0.448888:0.850415:0.448888:0.835351:0.427727:0.835351:0.000000:0.000000:0.000000
B:@0.601569:0.813093:0.609960:0.813093:0.609960:0.798057:0.601569:0.798057:0.000000
1:@0.609957:0.815980:0.614480:0.815980:0.614480:0.807198:0.609957:0.807198:0.000000
B:@0.826383:0.795272:0.834774:0.795272:0.834774:0.780236:0.826383:0.780236:0.000000
B:@0.826383:0.870113:0.834774:0.870113:0.834774:0.855076:0.826383:0.855076:0.000000
V:@0.825662:0.830904:0.835477:0.830904:0.835477:0.815867:0.825662:0.815867:0.000000
V:@0.825662:0.905744:0.835477:0.905744:0.835477:0.890707:0.825662:0.890707:0.000000
B:@0.601565:0.887922:0.609956:0.887922:0.609956:0.872885:0.601565:0.872885:0.000000
2:@0.609957:0.890824:0.614480:0.890824:0.614480:0.882042:0.609957:0.882042:0.000000
2:@0.521764:0.804325:0.529521:0.804325:0.529521:0.789262:0.521764:0.789262:0.000000
6:@0.521764:0.820669:0.529521:0.820669:0.529521:0.805606:0.521764:0.805606:0.000000
4:@0.521764:0.879168:0.529521:0.879168:0.529521:0.864105:0.521764:0.864105:0.000000
6:@0.521764:0.895512:0.529521:0.895512:0.529521:0.880449:0.521764:0.880449:0.000000
7:@0.737224:0.786504:0.744981:0.786504:0.744981:0.771441:0.737224:0.771441:0.000000
9:@0.737224:0.802848:0.744981:0.802848:0.744981:0.787785:0.737224:0.787785:0.000000
2:@0.737224:0.822145:0.744981:0.822145:0.744981:0.807082:0.737224:0.807082:0.000000
9:@0.737224:0.838488:0.744981:0.838488:0.744981:0.823425:0.737224:0.823425:0.000000
3:@0.737224:0.861349:0.744981:0.861349:0.744981:0.846286:0.737224:0.846286:0.000000
11:@0.733354:0.877692:0.748868:0.877692:0.748868:0.862629:0.733354:0.862629:0.000000:0.000000
8:@0.737224:0.896988:0.744981:0.896988:0.744981:0.881925:0.737224:0.881925:0.000000
11:@0.733354:0.913332:0.748868:0.913332:0.748868:0.898269:0.733354:0.898269:0.000000:0.000000
Shutterstock, 221906:@0.141426:0.524267:0.141426:0.466074:0.129958:0.466074:0.129958:0.524267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.200854:0.581876:0.298477:0.581876:0.298477:0.566403:0.200854:0.566403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.200854:0.594444:0.284916:0.594444:0.284916:0.578971:0.200854:0.578971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De la expresión para :@0.201092:0.618917:0.336779:0.618917:0.336779:0.603854:0.201092:0.603854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calcular la probabilidad condi-:@0.154548:0.634759:0.350937:0.634759:0.350937:0.619696:0.154548:0.619696:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cionada :@0.154548:0.650601:0.209711:0.650601:0.209711:0.635538:0.154548:0.635538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p A B:@0.154548:0.682351:0.199262:0.682351:0.199262:0.667314:0.154548:0.667314:0.000000:0.000000:0.000000:0.000000:0.000000
(  |  ) =:@0.163009:0.682245:0.218347:0.682245:0.218347:0.667182:0.163009:0.667182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p(A   B):@0.220965:0.675714:0.280243:0.675714:0.280243:0.660678:0.220965:0.660678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.248458:0.675411:0.263111:0.675411:0.263111:0.662037:0.248458:0.662037:0.000000
p B:@0.236743:0.692058:0.259030:0.692058:0.259030:0.677021:0.236743:0.677021:0.000000:0.000000:0.000000
( ):@0.245204:0.691952:0.264465:0.691952:0.264465:0.676889:0.245204:0.676889:0.000000:0.000000:0.000000
 , :@0.282864:0.682236:0.292943:0.682236:0.292943:0.667173:0.282864:0.667173:0.000000:0.000000:0.000000
se deduce inmediatamente :@0.154563:0.713168:0.335580:0.713168:0.335580:0.698104:0.154563:0.698104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que::@0.154563:0.729010:0.181739:0.729010:0.181739:0.713946:0.154563:0.713946:0.000000:0.000000:0.000000:0.000000
p A:@0.154563:0.752086:0.178749:0.752086:0.178749:0.737049:0.154563:0.737049:0.000000:0.000000:0.000000
(     ) =  ( ) ·  (  |  ).:@0.163023:0.751980:0.322688:0.751980:0.322688:0.736917:0.163023:0.736917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.182531:0.751782:0.197183:0.751782:0.197183:0.738409:0.182531:0.738409:0.000000
B:@0.200965:0.752086:0.209356:0.752086:0.209356:0.737049:0.200965:0.737049:0.000000
p B p A B:@0.232223:0.752086:0.314737:0.752086:0.314737:0.737049:0.232223:0.737049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000