﻿37:@0.922460:0.966765:0.939432:0.966765:0.939432:0.950778:0.922460:0.950778:0.000000:0.000000
La probabilidad condicional no está definida en el caso  ( ) = 0.:@0.109484:0.097939:0.564175:0.097939:0.564175:0.081442:0.109484:0.081442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p B:@0.503470:0.098055:0.527879:0.098055:0.527879:0.081586:0.503470:0.081586:0.000000:0.000000:0.000000
Esto significa que el evento   jamás ocurre, con lo que no tiene senti-:@0.109484:0.132641:0.596972:0.132641:0.596972:0.116143:0.109484:0.116143:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.304410:0.132757:0.313600:0.132757:0.313600:0.116288:0.304410:0.116288:0.000000
do hablar acerca de la probabilidad de A conociendo  ( ) = 0.:@0.109484:0.149992:0.551096:0.149992:0.551096:0.133494:0.109484:0.133494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p B:@0.490391:0.150107:0.514800:0.150107:0.514800:0.133639:0.490391:0.133639:0.000000:0.000000:0.000000
De la definición de probabilidad condicional, se deduce inmediata-:@0.109484:0.184693:0.597022:0.184693:0.597022:0.168195:0.109484:0.168195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mente que::@0.109484:0.202044:0.189743:0.202044:0.189743:0.185546:0.109484:0.185546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i):@0.109484:0.236962:0.120022:0.236962:0.120022:0.220248:0.109484:0.220248:0.000000:0.000000
  Si los eventos  ,   son disjuntos, esto es,       = Ø, entonces :@0.120022:0.236745:0.573373:0.236745:0.573373:0.220248:0.120022:0.220248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.232568:0.236861:0.259925:0.236861:0.259925:0.220392:0.232568:0.220392:0.000000:0.000000:0.000000
A:@0.420653:0.236861:0.431923:0.236861:0.431923:0.220392:0.420653:0.220392:0.000000
:@0.436065:0.236528:0.452113:0.236528:0.452113:0.221882:0.436065:0.221882:0.000000
B:@0.456255:0.236861:0.465445:0.236861:0.465445:0.220392:0.456255:0.220392:0.000000
p:@0.133219:0.254212:0.142486:0.254212:0.142486:0.237743:0.133219:0.237743:0.000000
(Ø) = 0, y :@0.142486:0.254096:0.214557:0.254096:0.214557:0.237598:0.142486:0.237598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.109484:0.288798:0.113626:0.288798:0.113626:0.272300:0.109484:0.272300:0.000000
p A B:@0.206869:0.288913:0.255842:0.288913:0.255842:0.272445:0.206869:0.272445:0.000000:0.000000:0.000000:0.000000:0.000000
(  |  ) =                      =              =            = 0.:@0.216136:0.288798:0.523378:0.288798:0.523378:0.272300:0.216136:0.272300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.109484:0.306148:0.113626:0.306148:0.113626:0.289651:0.109484:0.289651:0.000000
ii):@0.109484:0.323716:0.124279:0.323716:0.124279:0.307001:0.109484:0.307001:0.000000:0.000000:0.000000
  De manera similar, si       y  ( ) > 0, entonces       =  y en :@0.124280:0.323499:0.601172:0.323499:0.601172:0.307001:0.124280:0.307001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.284991:0.323615:0.294180:0.323615:0.294180:0.307146:0.284991:0.307146:0.000000
:@0.299074:0.323282:0.315122:0.323282:0.315122:0.308635:0.299074:0.308635:0.000000
A p B:@0.320034:0.323615:0.373361:0.323615:0.373361:0.307146:0.320034:0.307146:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.485735:0.323615:0.497005:0.323615:0.497005:0.307146:0.485735:0.307146:0.000000
:@0.501879:0.323282:0.517927:0.323282:0.517927:0.308635:0.501879:0.308635:0.000000
B:@0.522840:0.323615:0.532029:0.323615:0.532029:0.307146:0.522840:0.307146:0.000000
B :@0.552662:0.323615:0.565994:0.323615:0.565994:0.307146:0.552662:0.307146:0.000000:0.000000
consecuencia,:@0.133239:0.340850:0.232299:0.340850:0.232299:0.324352:0.133239:0.324352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.109504:0.358201:0.113646:0.358201:0.113646:0.341703:0.109504:0.341703:0.000000
 :@0.109503:0.375551:0.113645:0.375551:0.113645:0.359054:0.109503:0.359054:0.000000
p A B:@0.241297:0.375667:0.290270:0.375667:0.290270:0.359198:0.241297:0.359198:0.000000:0.000000:0.000000:0.000000:0.000000
(  |  ) =                     =             = 1.:@0.250564:0.375551:0.489010:0.375551:0.489010:0.359054:0.250564:0.359054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
iii):@0.109504:0.410470:0.128557:0.410470:0.128557:0.393755:0.109504:0.393755:0.000000:0.000000:0.000000:0.000000
 Si       y  ( ) > 0, entonces       =  ,  ( ) ≤  ( ), luego,:@0.128557:0.410253:0.556532:0.410253:0.556532:0.393755:0.128557:0.393755:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.149189:0.410369:0.160459:0.410369:0.160459:0.393900:0.149189:0.393900:0.000000
:@0.164602:0.410036:0.180649:0.410036:0.180649:0.395389:0.164602:0.395389:0.000000
B p B:@0.184792:0.410369:0.234496:0.410369:0.234496:0.393900:0.184792:0.393900:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.343786:0.410369:0.355056:0.410369:0.355056:0.393900:0.343786:0.393900:0.000000
:@0.359198:0.410036:0.375246:0.410036:0.375246:0.395389:0.359198:0.395389:0.000000
B A p A:@0.379388:0.410369:0.452326:0.410369:0.452326:0.393900:0.379388:0.393900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p B:@0.477371:0.410369:0.501780:0.410369:0.501780:0.393900:0.477371:0.393900:0.000000:0.000000:0.000000
 :@0.109503:0.427604:0.113645:0.427604:0.113645:0.411106:0.109503:0.411106:0.000000
 :@0.109503:0.444954:0.113645:0.444954:0.113645:0.428457:0.109503:0.428457:0.000000
p A B:@0.241297:0.445070:0.290270:0.445070:0.290270:0.428601:0.241297:0.428601:0.000000:0.000000:0.000000:0.000000:0.000000
(  |  ) =                     =             ≤ 1.:@0.250564:0.444954:0.489010:0.444954:0.489010:0.428457:0.250564:0.428457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Con base en la probabilidad condicional, se definen los eventos depen-:@0.109504:0.479656:0.597044:0.479656:0.597044:0.463158:0.109504:0.463158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dientes e independientes y las probabilidades de esta clase de eventos.:@0.109504:0.497007:0.597067:0.497007:0.597067:0.480509:0.109504:0.480509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición:@0.109504:0.532171:0.189587:0.532171:0.189587:0.515225:0.109504:0.515225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Sean   un espacio muestral, y  ,   dos eventos de  .:@0.189589:0.531708:0.561368:0.531708:0.561368:0.515211:0.189589:0.515211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.234285:0.531824:0.242164:0.531824:0.242164:0.515355:0.234285:0.515355:0.000000
A B:@0.407959:0.531824:0.435316:0.531824:0.435316:0.515355:0.407959:0.515355:0.000000:0.000000:0.000000
S:@0.550734:0.531824:0.558614:0.531824:0.558614:0.515355:0.550734:0.515355:0.000000
i):@0.109504:0.566627:0.120042:0.566627:0.120042:0.549912:0.109504:0.549912:0.000000:0.000000
  Se dice que estos dos :@0.120042:0.566410:0.291517:0.566410:0.291517:0.549912:0.120042:0.549912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
eventos son independientes:@0.292346:0.566627:0.500118:0.566627:0.500118:0.549912:0.292346:0.549912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 si y solo si se :@0.500125:0.566410:0.601191:0.566410:0.601191:0.549912:0.500125:0.549912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
verifica :@0.133238:0.583760:0.187893:0.583760:0.187893:0.567263:0.133238:0.567263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p B A:@0.299689:0.601227:0.348662:0.601227:0.348662:0.584758:0.299689:0.584758:0.000000:0.000000:0.000000:0.000000:0.000000
(  |  ) =  ( ).:@0.308956:0.601111:0.406824:0.601111:0.406824:0.584614:0.308956:0.584614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p B:@0.373707:0.601227:0.398116:0.601227:0.398116:0.584758:0.373707:0.584758:0.000000:0.000000:0.000000
 :@0.109484:0.633542:0.113626:0.633542:0.113626:0.617044:0.109484:0.617044:0.000000
La probabilidad de los eventos independientes  ,   está relaciona-:@0.133219:0.633542:0.597011:0.633542:0.597011:0.617044:0.133219:0.617044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.465156:0.633658:0.492035:0.633658:0.492035:0.617189:0.465156:0.617189:0.000000:0.000000:0.000000
da como::@0.133219:0.650893:0.199492:0.650893:0.199492:0.634395:0.133219:0.634395:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p A:@0.268384:0.668359:0.294874:0.668359:0.294874:0.651890:0.268384:0.651890:0.000000:0.000000:0.000000
(     ) =  ( ) ×  ( ).:@0.277651:0.668244:0.438092:0.668244:0.438092:0.651746:0.277651:0.651746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.299016:0.668027:0.315064:0.668027:0.315064:0.653380:0.299016:0.653380:0.000000
B:@0.319206:0.668359:0.328396:0.668359:0.328396:0.651890:0.319206:0.651890:0.000000
p A:@0.353440:0.668359:0.379930:0.668359:0.379930:0.651890:0.353440:0.651890:0.000000:0.000000:0.000000
p B:@0.404975:0.668359:0.429384:0.668359:0.429384:0.651890:0.404975:0.651890:0.000000:0.000000:0.000000
ii):@0.109465:0.700892:0.124261:0.700892:0.124261:0.684177:0.109465:0.684177:0.000000:0.000000:0.000000
  La probabilidad de los :@0.124260:0.700676:0.295486:0.700676:0.295486:0.684178:0.124260:0.684178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
eventos dependientes:@0.295948:0.700892:0.457792:0.700892:0.457792:0.684178:0.295948:0.684178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  ,   está relaciona-:@0.457780:0.700676:0.596991:0.700676:0.596991:0.684178:0.457780:0.684178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.462385:0.700791:0.490204:0.700791:0.490204:0.684323:0.462385:0.684323:0.000000:0.000000:0.000000
da como::@0.133199:0.718026:0.199472:0.718026:0.199472:0.701529:0.133199:0.701529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p A:@0.256092:0.735493:0.282582:0.735493:0.282582:0.719024:0.256092:0.719024:0.000000:0.000000:0.000000
(     ) =  ( ) ×  (  |  ).:@0.265359:0.735377:0.450363:0.735377:0.450363:0.718879:0.265359:0.718879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.286724:0.735160:0.302772:0.735160:0.302772:0.720513:0.286724:0.720513:0.000000
B:@0.306914:0.735493:0.316103:0.735493:0.316103:0.719024:0.306914:0.719024:0.000000
p A:@0.341148:0.735493:0.367638:0.735493:0.367638:0.719024:0.341148:0.719024:0.000000:0.000000:0.000000
p B A:@0.392683:0.735493:0.441655:0.735493:0.441655:0.719024:0.392683:0.719024:0.000000:0.000000:0.000000:0.000000:0.000000
La negación de dos eventos independientes hace que los eventos :@0.109464:0.770079:0.601206:0.770079:0.601206:0.753581:0.109464:0.753581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sean claramente dependientes.:@0.109464:0.787429:0.328410:0.787429:0.328410:0.770932:0.109464:0.770932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Nota que dos eventos,  ,   son independientes si la ocurrencia de uno :@0.109464:0.822131:0.601189:0.822131:0.601189:0.805633:0.109464:0.805633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B,:@0.268728:0.822247:0.297763:0.822247:0.297763:0.805778:0.268728:0.805778:0.000000:0.000000:0.000000:0.000000
de ellos no altera la probabilidad de que el otro evento suceda. Se tiene::@0.109464:0.839482:0.596970:0.839482:0.596970:0.822984:0.109464:0.822984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p A:@0.234245:0.874299:0.260735:0.874299:0.260735:0.857830:0.234245:0.857830:0.000000:0.000000:0.000000
( ) =  (  |  )  y   ( ) =  (  |  ).:@0.243512:0.874183:0.472229:0.874183:0.472229:0.857685:0.243512:0.857685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p A B:@0.285780:0.874299:0.334752:0.874299:0.334752:0.857830:0.285780:0.857830:0.000000:0.000000:0.000000:0.000000:0.000000
p B:@0.365095:0.874299:0.389504:0.874299:0.389504:0.857830:0.365095:0.857830:0.000000:0.000000:0.000000
p B A:@0.414549:0.874299:0.463521:0.874299:0.463521:0.857830:0.414549:0.857830:0.000000:0.000000:0.000000:0.000000:0.000000
Por ejemplo, si se lanzan dos monedas de un dólar, el resultado de :@0.109464:0.908885:0.601185:0.908885:0.601185:0.892387:0.109464:0.892387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtener una cara o una cruz de una de ellas no se ve afectada por el :@0.109464:0.926235:0.601251:0.926235:0.601251:0.909738:0.109464:0.909738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resultado de cara o cruz de la otra moneda.:@0.109464:0.943586:0.418281:0.943586:0.418281:0.927088:0.109464:0.927088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p A:@0.288058:0.279738:0.314548:0.279738:0.314548:0.263269:0.288058:0.263269:0.000000:0.000000:0.000000
(     ):@0.297325:0.279622:0.354023:0.279622:0.354023:0.263124:0.297325:0.263124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.318690:0.279405:0.334738:0.279405:0.334738:0.264758:0.318690:0.264758:0.000000
B:@0.338880:0.279738:0.348070:0.279738:0.348070:0.263269:0.338880:0.263269:0.000000
p B:@0.305859:0.296076:0.330268:0.296076:0.330268:0.279607:0.305859:0.279607:0.000000:0.000000:0.000000
( ):@0.315126:0.295960:0.336221:0.295960:0.336221:0.279463:0.315126:0.279463:0.000000:0.000000:0.000000
p A:@0.320270:0.366650:0.346760:0.366650:0.346760:0.350181:0.320270:0.350181:0.000000:0.000000:0.000000
(     ):@0.329536:0.366534:0.386234:0.366534:0.386234:0.350036:0.329536:0.350036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.350902:0.366317:0.366950:0.366317:0.366950:0.351670:0.350902:0.351670:0.000000
B:@0.371092:0.366650:0.380281:0.366650:0.380281:0.350181:0.371092:0.350181:0.000000
p B:@0.338071:0.382988:0.362480:0.382988:0.362480:0.366520:0.338071:0.366520:0.000000:0.000000:0.000000
( ):@0.347337:0.382873:0.368433:0.382873:0.368433:0.366375:0.347337:0.366375:0.000000:0.000000:0.000000
p A:@0.320270:0.435801:0.346760:0.435801:0.346760:0.419333:0.320270:0.419333:0.000000:0.000000:0.000000
(     ):@0.329536:0.435686:0.386234:0.435686:0.386234:0.419188:0.329536:0.419188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.350902:0.435469:0.366950:0.435469:0.366950:0.420822:0.350902:0.420822:0.000000
B:@0.371092:0.435801:0.380281:0.435801:0.380281:0.419333:0.371092:0.419333:0.000000
p B:@0.338071:0.452140:0.362480:0.452140:0.362480:0.435671:0.338071:0.435671:0.000000:0.000000:0.000000
( ):@0.347337:0.452024:0.368433:0.452024:0.368433:0.435527:0.347337:0.435527:0.000000:0.000000:0.000000
p:@0.389085:0.279738:0.398352:0.279738:0.398352:0.263269:0.389085:0.263269:0.000000
(Ø):@0.398352:0.279622:0.423975:0.279622:0.423975:0.263124:0.398352:0.263124:0.000000:0.000000:0.000000
p B:@0.391339:0.296076:0.415748:0.296076:0.415748:0.279607:0.391339:0.279607:0.000000:0.000000:0.000000
( ):@0.400606:0.295960:0.421701:0.295960:0.421701:0.279463:0.400606:0.279463:0.000000:0.000000:0.000000
p B:@0.420210:0.366650:0.444619:0.366650:0.444619:0.350181:0.420210:0.350181:0.000000:0.000000:0.000000
( ):@0.429476:0.366534:0.450572:0.366534:0.450572:0.350036:0.429476:0.350036:0.000000:0.000000:0.000000
p B:@0.420210:0.382988:0.444619:0.382988:0.444619:0.366520:0.420210:0.366520:0.000000:0.000000:0.000000
( ):@0.429476:0.382873:0.450572:0.382873:0.450572:0.366375:0.429476:0.366375:0.000000:0.000000:0.000000
p A:@0.419169:0.435801:0.445659:0.435801:0.445659:0.419333:0.419169:0.419333:0.000000:0.000000:0.000000
( ):@0.428436:0.435686:0.451612:0.435686:0.451612:0.419188:0.428436:0.419188:0.000000:0.000000:0.000000
p B:@0.420210:0.452140:0.444619:0.452140:0.444619:0.435671:0.420210:0.435671:0.000000:0.000000:0.000000
( ):@0.429476:0.452024:0.450572:0.452024:0.450572:0.435527:0.429476:0.435527:0.000000:0.000000:0.000000
0:@0.467589:0.279622:0.476085:0.279622:0.476085:0.263124:0.467589:0.263124:0.000000
p B:@0.456665:0.296076:0.481074:0.296076:0.481074:0.279607:0.456665:0.279607:0.000000:0.000000:0.000000
( ):@0.465932:0.295960:0.487027:0.295960:0.487027:0.279463:0.465932:0.279463:0.000000:0.000000:0.000000
Shutterstock, 190733279:@0.871306:0.922068:0.871306:0.853895:0.859838:0.853895:0.859838:0.922068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.684805:0.097749:0.782428:0.097749:0.782428:0.082277:0.684805:0.082277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.684805:0.110317:0.768868:0.110317:0.768868:0.094845:0.684805:0.094845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La regla de Laplace para :@0.685043:0.134792:0.843016:0.134792:0.843016:0.119729:0.685043:0.119729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el cálculo de probabilidades :@0.638500:0.150634:0.822648:0.150634:0.822648:0.135571:0.638500:0.135571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
establece que la probabilidad :@0.638500:0.166476:0.831758:0.166476:0.831758:0.151413:0.638500:0.151413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de un suceso cualquiera   es :@0.638500:0.182318:0.828926:0.182318:0.828926:0.167255:0.638500:0.167255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.797950:0.182424:0.808240:0.182424:0.808240:0.167387:0.797950:0.167387:0.000000
el cociente entre el número de :@0.638500:0.198160:0.839922:0.198160:0.839922:0.183097:0.638500:0.183097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
casos favorables de   sobre el :@0.638500:0.214002:0.834623:0.214002:0.834623:0.198939:0.638500:0.198939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.766587:0.214108:0.776877:0.214108:0.776877:0.199071:0.766587:0.199071:0.000000
número de casos posibles.:@0.638500:0.229844:0.808414:0.229844:0.808414:0.214781:0.638500:0.214781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P A:@0.638500:0.265357:0.662247:0.265357:0.662247:0.250320:0.638500:0.250320:0.000000:0.000000:0.000000
( ) = :@0.646521:0.265251:0.685114:0.265251:0.685114:0.250188:0.646521:0.250188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n.° casos favorables de A:@0.686331:0.258729:0.840612:0.258729:0.840612:0.243693:0.686331:0.243693:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n.° de casos posibles:@0.700861:0.275073:0.826065:0.275073:0.826065:0.260036:0.700861:0.260036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las propiedades de la probabi-:@0.638504:0.296935:0.837706:0.296935:0.837706:0.281872:0.638504:0.281872:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lidad son: :@0.638504:0.312777:0.703990:0.312777:0.703990:0.297714:0.638504:0.297714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 ≤  ( ) ≤ 1. La probabilidad :@0.638504:0.335748:0.829407:0.335748:0.829407:0.320685:0.638504:0.320685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P A:@0.663693:0.335853:0.687440:0.335853:0.687440:0.320817:0.663693:0.320817:0.000000:0.000000:0.000000
de un suceso es un número :@0.638504:0.351590:0.821263:0.351590:0.821263:0.336527:0.638504:0.336527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comprendido entre 0 y 1.:@0.638504:0.367432:0.801738:0.367432:0.801738:0.352369:0.638504:0.352369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P E:@0.638504:0.390508:0.659225:0.390508:0.659225:0.375472:0.638504:0.375472:0.000000:0.000000:0.000000
( ) = 1,  (Ø) = 0. La probabili-:@0.646525:0.390403:0.840401:0.390403:0.840401:0.375340:0.646525:0.375340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.696147:0.390508:0.704168:0.390508:0.704168:0.375472:0.696147:0.375472:0.000000
dad del suceso seguro es 1, y la :@0.638504:0.406245:0.841278:0.406245:0.841278:0.391182:0.638504:0.391182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del suceso imposible es 0.:@0.638504:0.422087:0.803917:0.422087:0.803917:0.407024:0.638504:0.407024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000