236:@0.024814:0.963884:0.056738:0.963884:0.056738:0.945447:0.024814:0.945447:0.000000:0.000000:0.000000
M.4.3.12.:@0.096359:0.945631:0.142269:0.945631:0.142269:0.934876:0.096359:0.934876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Operar con eventos (unión, intersección, diferencia y complemento) y aplicar las leyes de De Morgan para calcular probabilidades en la resolución de problemas.:@0.142269:0.945631:0.893284:0.945631:0.893284:0.935659:0.142269:0.935659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cálculo de probabilidades:@0.305303:0.084620:0.681894:0.084620:0.681894:0.053892:0.305303:0.053892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 6:@0.124729:0.083964:0.219414:0.083964:0.219414:0.055923:0.124729:0.055923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En una caja existen tres bolas verdes, cuatro azules y dos negras. Si la ganadora :@0.304744:0.202151:0.907178:0.202151:0.907178:0.186482:0.304744:0.186482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del sorteo es aquella persona que saque la bola negra, ¿cuál es la probabilidad de :@0.304744:0.218748:0.907088:0.218748:0.907088:0.203078:0.304744:0.203078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ganar en el sorteo?:@0.304744:0.235344:0.444515:0.235344:0.444515:0.219674:0.304744:0.219674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinemos el espacio muestral, contando el número total de bolas que están :@0.304744:0.255509:0.907101:0.255509:0.907101:0.239839:0.304744:0.239839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dentro de la caja.   = 9.:@0.304744:0.272105:0.473172:0.272105:0.473172:0.256435:0.304744:0.256435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
E:@0.433792:0.272105:0.441919:0.272105:0.441919:0.255744:0.433792:0.255744:0.000000
Para  obtener  la  probabilidad  de  un evento, analicemos  cuáles  son  los  casos :@0.304744:0.292270:0.907132:0.292270:0.907132:0.276600:0.304744:0.276600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
favorables, es decir, los que cumplen con la condición.:@0.304744:0.308866:0.701655:0.308866:0.701655:0.293196:0.304744:0.293196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En este caso, dos son los casos favorables, ya que en la caja hay dos bolas negras.:@0.304744:0.329031:0.895600:0.329031:0.895600:0.313361:0.304744:0.313361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Casos favorables = 2.:@0.304744:0.349195:0.457157:0.349195:0.457157:0.333525:0.304744:0.333525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ley de Laplace:@0.319266:0.377830:0.434714:0.377830:0.434714:0.360930:0.319266:0.360930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. La probabilidad de cualquier suceso   es igual al cociente en-:@0.434714:0.377830:0.887184:0.377830:0.887184:0.362161:0.434714:0.362161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.707664:0.377830:0.717559:0.377830:0.717559:0.361469:0.707664:0.361469:0.000000
tre el número de resultados favorables y el número total del espacio muestral.:@0.315913:0.394427:0.884234:0.394427:0.884234:0.378757:0.315913:0.378757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.499464:0.424481:0.509580:0.424481:0.509580:0.408908:0.499464:0.408908:0.000000
PA:@0.464856:0.423803:0.491447:0.423803:0.491447:0.407442:0.464856:0.407442:0.000000:0.000000
():@0.474383:0.423803:0.496699:0.423803:0.496699:0.407415:0.474383:0.407415:0.000000:0.000000
Espaciomuestral:@0.546952:0.434812:0.668021:0.434812:0.668021:0.418423:0.546952:0.418423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de casos favorables:@0.558358:0.415359:0.699956:0.415359:0.699956:0.398971:0.558358:0.398971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Núm.:@0.515219:0.415346:0.554175:0.415346:0.554175:0.398957:0.515219:0.398957:0.000000:0.000000:0.000000:0.000000
Resolviendo la situación inicial, tenemos:  ():@0.304744:0.480391:0.640949:0.479361:0.640949:0.463691:0.304744:0.464721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.643713:0.480039:0.625249:0.480039:0.625249:0.464466:0.643713:0.464466:0.000000
=:@0.672295:0.480039:0.653830:0.480039:0.653830:0.464466:0.672295:0.464466:0.000000
PA:@0.609106:0.479361:0.635697:0.479361:0.635697:0.463000:0.609106:0.463000:0.000000:0.000000
2:@0.658732:0.470399:0.667725:0.470399:0.667725:0.454729:0.658732:0.454729:0.000000
9:@0.658581:0.489852:0.667574:0.489852:0.667574:0.474182:0.658581:0.474182:0.000000
0,22:@0.685698:0.479361:0.717560:0.479361:0.717560:0.463691:0.685698:0.463691:0.000000:0.000000:0.000000:0.000000
La probabilidad de ganar el sorteo es 22 %.:@0.304744:0.502610:0.618968:0.502610:0.618968:0.486940:0.304744:0.486940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades de la probabilidad:@0.304744:0.529978:0.599051:0.529978:0.599051:0.510004:0.304744:0.510004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Unión de sucesos compatibles:@0.367887:0.559436:0.571948:0.559436:0.571948:0.545191:0.367887:0.545191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
PA B:@0.606198:0.559320:0.659786:0.559320:0.664379:0.543651:0.610791:0.543651:0.000000:0.000000:0.000000:0.000000
P AP B:@0.681475:0.559320:0.752864:0.559320:0.757457:0.543651:0.686068:0.543651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P AB:@0.772987:0.559320:0.826574:0.559320:0.831167:0.543651:0.777580:0.543651:0.000000:0.000000:0.000000:0.000000
(:@0.618258:0.559320:0.623141:0.559320:0.623141:0.543651:0.618258:0.543651:0.000000
):@0.663332:0.559320:0.668215:0.559320:0.668215:0.543651:0.663332:0.543651:0.000000
():@0.693535:0.559320:0.716330:0.559320:0.716330:0.543651:0.693535:0.543651:0.000000:0.000000
():@0.739659:0.559320:0.761293:0.559320:0.761293:0.543651:0.739659:0.543651:0.000000:0.000000
(:@0.785047:0.559320:0.789930:0.559320:0.789930:0.543651:0.785047:0.543651:0.000000
):@0.830121:0.559320:0.835004:0.559320:0.835004:0.543651:0.830121:0.543651:0.000000
∪:@0.636575:0.559998:0.650728:0.559998:0.650728:0.544425:0.636575:0.544425:0.000000
=:@0.670611:0.559998:0.680728:0.559998:0.680728:0.544425:0.670611:0.544425:0.000000
+:@0.717509:0.559998:0.727626:0.559998:0.727626:0.544425:0.717509:0.544425:0.000000
−:@0.762897:0.559998:0.773013:0.559998:0.773013:0.544425:0.762897:0.544425:0.000000
∩:@0.803364:0.559998:0.817516:0.559998:0.817516:0.544425:0.803364:0.544425:0.000000
Sucesos contrarios:@0.367887:0.590509:0.492037:0.590509:0.492037:0.576264:0.367887:0.576264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
PB:@0.605379:0.590495:0.630662:0.590495:0.635466:0.574106:0.610183:0.574106:0.000000:0.000000
  B:@0.685963:0.590495:0.705109:0.590495:0.709913:0.574106:0.690767:0.574106:0.000000:0.000000:0.000000
(:@0.617437:0.590504:0.622321:0.590504:0.622321:0.574115:0.617437:0.574115:0.000000
) 1:@0.642093:0.590504:0.669882:0.590504:0.669882:0.574115:0.642093:0.574115:0.000000:0.000000:0.000000
( ):@0.692198:0.590504:0.713832:0.590504:0.713832:0.574115:0.692198:0.574115:0.000000:0.000000:0.000000
c:@0.632699:0.582835:0.637462:0.582835:0.640247:0.573337:0.635483:0.573337:0.000000
=−:@0.649372:0.591182:0.679022:0.591182:0.679022:0.575609:0.649372:0.575609:0.000000:0.000000
Suceso seguro:@0.367887:0.621582:0.463024:0.621582:0.463024:0.607337:0.367887:0.607337:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
PE:@0.606198:0.621294:0.633066:0.621294:0.637659:0.605624:0.610791:0.605624:0.000000:0.000000
1:@0.657626:0.621294:0.666619:0.621294:0.666619:0.605624:0.657626:0.605624:0.000000
():@0.619828:0.624427:0.643452:0.624427:0.643452:0.604494:0.619828:0.604494:0.000000:0.000000
=:@0.646109:0.621972:0.656226:0.621972:0.656226:0.606399:0.646109:0.606399:0.000000
Suceso imposible:@0.367887:0.652452:0.482523:0.652452:0.482523:0.638207:0.367887:0.638207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.606198:0.652298:0.615449:0.652298:0.620042:0.636628:0.610791:0.636628:0.000000
() 0:@0.618258:0.652298:0.668916:0.652298:0.668916:0.636628:0.618258:0.636628:0.000000:0.000000:0.000000:0.000000
∅=:@0.623952:0.652975:0.657362:0.652975:0.657362:0.637403:0.623952:0.637403:0.000000:0.000000
Ley de De Morgan:@0.367887:0.686020:0.488035:0.686020:0.488035:0.671775:0.367887:0.671775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
PA:@0.598758:0.676789:0.626658:0.676789:0.631462:0.660400:0.603562:0.660400:0.000000:0.000000
B:@0.650964:0.676789:0.660270:0.676789:0.665074:0.660400:0.655768:0.660400:0.000000
A B:@0.708126:0.676789:0.744595:0.676789:0.749399:0.660400:0.712930:0.660400:0.000000:0.000000:0.000000
PA:@0.598776:0.695211:0.626676:0.695211:0.631480:0.678822:0.603580:0.678822:0.000000:0.000000
B:@0.650963:0.695211:0.660269:0.695211:0.665073:0.678822:0.655767:0.678822:0.000000
A B:@0.708126:0.695211:0.744594:0.695211:0.749398:0.678822:0.712930:0.678822:0.000000:0.000000:0.000000
(:@0.610837:0.676786:0.615720:0.676786:0.615720:0.660397:0.610837:0.660397:0.000000
):@0.671722:0.676786:0.676605:0.676786:0.676605:0.660397:0.671722:0.660397:0.000000
(:@0.703086:0.676786:0.707969:0.676786:0.707969:0.660397:0.703086:0.660397:0.000000
):@0.748160:0.676786:0.753043:0.676786:0.753043:0.660397:0.748160:0.660397:0.000000
(:@0.610837:0.695222:0.615720:0.695222:0.615720:0.678833:0.610837:0.678833:0.000000
):@0.671722:0.695222:0.676605:0.695222:0.676605:0.678833:0.671722:0.678833:0.000000
(:@0.703086:0.695222:0.707969:0.695222:0.707969:0.678833:0.703086:0.678833:0.000000
):@0.748160:0.695222:0.753043:0.695222:0.753043:0.678833:0.748160:0.678833:0.000000
c:@0.627255:0.669138:0.632018:0.669138:0.634802:0.659640:0.630039:0.659640:0.000000
c:@0.662327:0.669138:0.667090:0.669138:0.669874:0.659640:0.665111:0.659640:0.000000
C:@0.751758:0.669138:0.757846:0.669138:0.760630:0.659640:0.754542:0.659640:0.000000
c:@0.627258:0.687566:0.632021:0.687566:0.634805:0.678068:0.630042:0.678068:0.000000
c:@0.662330:0.687566:0.667093:0.687566:0.669877:0.678068:0.665114:0.678068:0.000000
C:@0.751761:0.687566:0.757849:0.687566:0.760633:0.678068:0.754546:0.678068:0.000000
∩:@0.637064:0.677464:0.651217:0.677464:0.651217:0.661891:0.637064:0.661891:0.000000
=:@0.679006:0.677464:0.689122:0.677464:0.689122:0.661891:0.679006:0.661891:0.000000
∪:@0.721408:0.677464:0.735560:0.677464:0.735560:0.661891:0.721408:0.661891:0.000000
∪:@0.637064:0.695901:0.651217:0.695901:0.651217:0.680328:0.637064:0.680328:0.000000
=:@0.679006:0.695901:0.689122:0.695901:0.689122:0.680328:0.679006:0.680328:0.000000
∩:@0.721408:0.695901:0.735560:0.695901:0.735560:0.680328:0.721408:0.680328:0.000000
Ejemplos:@0.304744:0.718448:0.368738:0.718448:0.368738:0.703335:0.304744:0.703335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.304744:0.742487:0.323982:0.742487:0.323982:0.725351:0.304744:0.725351:0.000000:0.000000:0.000000
De una baraja de 52 cartas, se desea extraer una carta de corazón negro. ¿Cuál :@0.333233:0.742487:0.907031:0.742487:0.907031:0.726817:0.333233:0.726817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es la probabilidad de sacar una al primer intento?:@0.333233:0.759083:0.693653:0.759083:0.693653:0.743413:0.333233:0.743413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución :@0.334898:0.777419:0.399110:0.777419:0.399110:0.762307:0.334898:0.762307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.304744:0.801459:0.308779:0.801459:0.308779:0.785789:0.304744:0.785789:0.000000
Determinemos el suceso A: obtener una carta de corazón negro. Definamos su :@0.333233:0.801459:0.907119:0.801459:0.907119:0.785789:0.333233:0.785789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
espacio muestral: E = 52:@0.333233:0.818055:0.510451:0.818055:0.510451:0.802386:0.333233:0.802386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.304744:0.841774:0.308558:0.841774:0.308558:0.824874:0.304744:0.824874:0.000000
Números de casos favorables: 13:@0.333233:0.841774:0.571924:0.841774:0.571924:0.826105:0.333233:0.826105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reflexiona:@0.311157:0.166191:0.394984:0.166191:0.394984:0.149291:0.311157:0.149291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. ¿Existe la intersección con el vacío?:@0.394984:0.166191:0.659234:0.166191:0.659234:0.150522:0.394984:0.150522:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.344861:0.139565:0.470369:0.139565:0.470369:0.122665:0.344861:0.122665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Bolas de colores. :@0.096002:0.358053:0.198360:0.358053:0.198360:0.345232:0.096002:0.345232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 185549141.:@0.091091:0.341993:0.091091:0.266715:0.079703:0.266715:0.079703:0.341993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  Cuando la :@0.106906:0.536759:0.192578:0.536759:0.192578:0.522514:0.106906:0.522514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
probabilidad es el :@0.121145:0.551847:0.243605:0.551847:0.243605:0.537602:0.121145:0.537602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
100 %, se dice que es :@0.121145:0.566935:0.266003:0.566935:0.266003:0.552689:0.121145:0.552689:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igual a 1 y, cuando :@0.121145:0.582022:0.248630:0.582022:0.248630:0.567777:0.121145:0.567777:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la probabilidad es :@0.121145:0.597110:0.243086:0.597110:0.243086:0.582865:0.121145:0.582865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
imposible o 0 %, se :@0.121145:0.612197:0.252266:0.612197:0.252266:0.597952:0.121145:0.597952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dice que es igual a 0.:@0.121145:0.627285:0.259537:0.627285:0.259537:0.613040:0.121145:0.613040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades de :@0.106906:0.649502:0.218845:0.649502:0.218845:0.634389:0.106906:0.634389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
operaciones con :@0.106906:0.664589:0.225444:0.664589:0.225444:0.649476:0.106906:0.649476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sucesos:@0.106906:0.679677:0.161033:0.679677:0.161033:0.664564:0.106906:0.664564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.106906:0.701893:0.115902:0.701893:0.115902:0.687019:0.106906:0.687019:0.000000
 :@0.115902:0.701893:0.119571:0.701893:0.119571:0.687648:0.115902:0.687648:0.000000
∪ ∅:@0.119571:0.702421:0.151668:0.702421:0.151668:0.686416:0.119571:0.686416:0.000000:0.000000:0.000000
 = :@0.151668:0.701893:0.168990:0.701893:0.168990:0.687648:0.151668:0.687648:0.000000:0.000000:0.000000
A:@0.168990:0.701893:0.177986:0.701893:0.177986:0.687019:0.168990:0.687019:0.000000
A:@0.106906:0.724110:0.115902:0.724110:0.115902:0.709236:0.106906:0.709236:0.000000
 :@0.115902:0.724110:0.119571:0.724110:0.119571:0.709865:0.115902:0.709865:0.000000
∩ ∅ ∅:@0.119571:0.724638:0.179276:0.724638:0.179276:0.708632:0.119571:0.708632:0.000000:0.000000:0.000000:0.000000:0.000000
= :@0.151668:0.724110:0.165322:0.724110:0.165322:0.709865:0.151668:0.709865:0.000000:0.000000
A:@0.106906:0.746326:0.115902:0.746326:0.115902:0.731452:0.106906:0.731452:0.000000
     = :@0.115902:0.746326:0.161904:0.746326:0.161904:0.732081:0.115902:0.732081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∪:@0.119571:0.746854:0.133525:0.746854:0.133525:0.730849:0.119571:0.730849:0.000000
E:@0.137194:0.746326:0.144582:0.746326:0.144582:0.731452:0.137194:0.731452:0.000000
E:@0.161904:0.746326:0.169292:0.746326:0.169292:0.731452:0.161904:0.731452:0.000000
A:@0.106906:0.768543:0.115902:0.768543:0.115902:0.753669:0.106906:0.753669:0.000000
     = :@0.115902:0.768543:0.161904:0.768543:0.161904:0.754298:0.115902:0.754298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∩:@0.119571:0.769071:0.133525:0.769071:0.133525:0.753065:0.119571:0.753065:0.000000
E:@0.137194:0.768543:0.144582:0.768543:0.144582:0.753669:0.137194:0.753669:0.000000
A:@0.161904:0.768543:0.170900:0.768543:0.170900:0.753669:0.161904:0.753669:0.000000
¿Sabías que?:@0.139478:0.512248:0.241346:0.512248:0.241346:0.495348:0.139478:0.495348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calculemos la probabilidad del suceso  .:@0.597348:0.841947:0.895524:0.841947:0.895524:0.826277:0.597348:0.826277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.882421:0.841947:0.892317:0.841947:0.892317:0.825585:0.882421:0.825585:0.000000
=:@0.634570:0.875151:0.607666:0.875151:0.607666:0.859578:0.634570:0.859578:0.000000
=:@0.671591:0.875151:0.644687:0.875151:0.644687:0.859578:0.671591:0.859578:0.000000
PA:@0.599963:0.874473:0.626554:0.874473:0.626554:0.858112:0.599963:0.858112:0.000000:0.000000
():@0.609490:0.874473:0.631806:0.874473:0.631806:0.858803:0.609490:0.858803:0.000000:0.000000
13:@0.649072:0.865511:0.666855:0.865511:0.666855:0.849841:0.649072:0.849841:0.000000:0.000000
52:@0.649438:0.884963:0.667220:0.884963:0.667220:0.869293:0.649438:0.869293:0.000000:0.000000
0,25:@0.684985:0.874473:0.716846:0.874473:0.716846:0.858803:0.684985:0.858803:0.000000:0.000000:0.000000:0.000000
 :@0.304749:0.913060:0.308784:0.913060:0.308784:0.897390:0.304749:0.897390:0.000000
La probabilidad de sacar una carta de corazón negro es del 25 %.:@0.333238:0.913060:0.807965:0.913060:0.807965:0.897390:0.333238:0.897390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Archivo editorial.:@0.840507:0.460524:0.903640:0.460524:0.903640:0.451917:0.840507:0.451917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es el conjunto vacío.:@0.311666:0.173785:0.406322:0.173785:0.406322:0.163814:0.311666:0.163814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000