190:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Probabilidad y estadística:@0.073089:0.043661:0.304012:0.043661:0.304012:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La probabilidad de   depende de la bolsa de la cual vamos a extraer la pelota.:@0.293660:0.136836:0.856107:0.136836:0.856107:0.121124:0.293660:0.121124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.433610:0.136836:0.443495:0.136836:0.443495:0.120430:0.433610:0.120430:0.000000
Para encontrar la probabilidad de  , basta con multiplicar las probabilidades de cada :@0.293660:0.167776:0.930759:0.167776:0.930759:0.152063:0.293660:0.152063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.547938:0.167776:0.557823:0.167776:0.557823:0.151370:0.547938:0.151370:0.000000
rama que llegue la pelota verde y, luego sumamos los resultados.:@0.293660:0.184418:0.764888:0.184418:0.764888:0.168705:0.293660:0.168705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p A:@0.439298:0.218880:0.465381:0.218880:0.465381:0.202474:0.439298:0.202474:0.000000:0.000000:0.000000
( ):@0.449588:0.218880:0.471290:0.218880:0.471290:0.203168:0.449588:0.203168:0.000000:0.000000:0.000000
=:@0.472321:0.219463:0.487654:0.219463:0.487654:0.201809:0.472321:0.201809:0.000000
2 2:@0.493621:0.212389:0.529656:0.212389:0.529656:0.196676:0.493621:0.196676:0.000000:0.000000:0.000000
6 9:@0.493621:0.226909:0.529656:0.226909:0.529656:0.211196:0.493621:0.211196:0.000000:0.000000:0.000000
∙:@0.508587:0.219462:0.514716:0.219462:0.514716:0.201807:0.508587:0.201807:0.000000
+:@0.535639:0.219462:0.550972:0.219462:0.550972:0.201807:0.535639:0.201807:0.000000
4 8:@0.556929:0.212389:0.592962:0.212389:0.592962:0.196676:0.556929:0.196676:0.000000:0.000000:0.000000
6 11 54 66:@0.556929:0.226909:0.669931:0.226909:0.669931:0.211196:0.556929:0.211196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∙:@0.571894:0.219462:0.578024:0.219462:0.578024:0.201807:0.571894:0.201807:0.000000
=:@0.598926:0.219462:0.614259:0.219462:0.614259:0.201807:0.598926:0.201807:0.000000
4:@0.620235:0.212389:0.629218:0.212389:0.629218:0.196676:0.620235:0.196676:0.000000
+:@0.635182:0.219462:0.650515:0.219462:0.650515:0.201807:0.635182:0.201807:0.000000
32:@0.652039:0.212389:0.669931:0.212389:0.669931:0.196676:0.652039:0.196676:0.000000:0.000000
=:@0.671441:0.219462:0.686774:0.219462:0.686774:0.201807:0.671441:0.201807:0.000000
166:@0.688725:0.212389:0.715526:0.212389:0.715526:0.196676:0.688725:0.196676:0.000000:0.000000:0.000000
297:@0.688725:0.226909:0.715526:0.226909:0.715526:0.211196:0.688725:0.211196:0.000000:0.000000:0.000000
=:@0.717459:0.219462:0.732792:0.219462:0.732792:0.201807:0.717459:0.201807:0.000000
0,559.:@0.733804:0.218879:0.781295:0.218879:0.781295:0.203167:0.733804:0.203167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Después, existe el 55,9 % de probabilidades de que la pelota que se extraiga sea de color :@0.293650:0.249819:0.931430:0.249819:0.931430:0.234106:0.293650:0.234106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
verde.:@0.293650:0.266461:0.337568:0.266461:0.337568:0.250748:0.293650:0.250748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.4 Teorema de Bayes:@0.293650:0.298413:0.462134:0.298413:0.462134:0.281466:0.293650:0.281466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Como consecuencia de la definición de probabilidad total y de la probabilidad :@0.293650:0.329353:0.931102:0.329353:0.931102:0.313641:0.293650:0.313641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
condicionada, enunciamos el famoso teorema de Bayes.:@0.293650:0.345995:0.700673:0.345995:0.700673:0.330282:0.293650:0.330282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Supongamos que el evento   puede ocurrir a condición de que aparezca uno de los :@0.293650:0.376935:0.930876:0.376935:0.930876:0.361222:0.293650:0.361222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.505830:0.376935:0.515715:0.376935:0.515715:0.360529:0.505830:0.360529:0.000000
eventos  ,  , … ,  . Si   ya ocurrió, la probabilidad condicional del evento   es igual a::@0.293632:0.393577:0.925643:0.393564:0.925643:0.377852:0.293632:0.377864:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B B:@0.355241:0.393577:0.385131:0.393564:0.385131:0.377158:0.355241:0.377171:0.000000:0.000000:0.000000
1:@0.364038:0.396737:0.369275:0.396737:0.369275:0.387576:0.364038:0.387576:0.000000
2:@0.385069:0.396737:0.390306:0.396737:0.390306:0.387576:0.385069:0.387576:0.000000
B:@0.426688:0.393564:0.435523:0.393564:0.435523:0.377158:0.426688:0.377158:0.000000
n:@0.435451:0.396737:0.441203:0.396737:0.441203:0.387576:0.435451:0.387576:0.000000
A:@0.464404:0.393564:0.474289:0.393564:0.474289:0.377158:0.464404:0.377158:0.000000
B:@0.840133:0.393564:0.848968:0.393564:0.848968:0.377158:0.840133:0.377158:0.000000
i:@0.848917:0.396737:0.851159:0.396737:0.851159:0.387576:0.848917:0.387576:0.000000
p B:@0.293667:0.438802:0.318701:0.438802:0.318701:0.422396:0.293667:0.422396:0.000000:0.000000:0.000000
(  |  ):@0.303956:0.438802:0.353403:0.438796:0.353403:0.423083:0.303956:0.423090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.319731:0.441968:0.321974:0.441968:0.321974:0.432808:0.319731:0.432808:0.000000
A:@0.337610:0.438796:0.347495:0.438796:0.347495:0.422390:0.337610:0.422390:0.000000
=:@0.354434:0.439378:0.369767:0.439378:0.369767:0.421724:0.354434:0.421724:0.000000
p A:@0.382114:0.428505:0.405988:0.428505:0.405988:0.412098:0.382114:0.412098:0.000000:0.000000:0.000000
(     ):@0.391299:0.428505:0.446655:0.428505:0.446655:0.412792:0.391299:0.412792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∩:@0.409872:0.429087:0.425205:0.429087:0.425205:0.411433:0.409872:0.411433:0.000000
B:@0.429071:0.428505:0.437906:0.428505:0.437906:0.412098:0.429071:0.412098:0.000000
i:@0.438937:0.431677:0.441180:0.431677:0.441180:0.422516:0.438937:0.422516:0.000000
p B:@0.400563:0.448572:0.423388:0.448572:0.423388:0.432166:0.400563:0.432166:0.000000:0.000000:0.000000
( ):@0.409748:0.448572:0.428192:0.448572:0.428192:0.432859:0.409748:0.432859:0.000000:0.000000:0.000000
p B:@0.293653:0.484033:0.318687:0.484033:0.318687:0.467627:0.293653:0.467627:0.000000:0.000000:0.000000
(  |  ):@0.303943:0.484033:0.353403:0.484028:0.353403:0.468315:0.303943:0.468320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.319731:0.487200:0.321974:0.487200:0.321974:0.478040:0.319731:0.478040:0.000000
A:@0.337610:0.484028:0.347495:0.484028:0.347495:0.467622:0.337610:0.467622:0.000000
=:@0.354434:0.484610:0.369767:0.484610:0.369767:0.466956:0.354434:0.466956:0.000000
p B p B:@0.524681:0.472104:0.585733:0.472104:0.585733:0.455698:0.524681:0.455698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) (  |  ):@0.533866:0.472104:0.620436:0.472104:0.620436:0.456391:0.533866:0.456391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.548545:0.475276:0.550788:0.475276:0.550788:0.466115:0.548545:0.466115:0.000000
 :@0.556189:0.472686:0.560791:0.472686:0.560791:0.455032:0.556189:0.455032:0.000000
i:@0.586764:0.475276:0.589007:0.475276:0.589007:0.466115:0.586764:0.466115:0.000000
A:@0.604642:0.472104:0.614527:0.472104:0.614527:0.455698:0.604642:0.455698:0.000000
p B  p A | B:@0.381859:0.493655:0.473450:0.493660:0.473450:0.477254:0.381859:0.477249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) (:@0.392149:0.493655:0.439213:0.493660:0.439213:0.477947:0.392149:0.477942:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.407941:0.496832:0.413178:0.496832:0.413178:0.487672:0.407941:0.487672:0.000000
1:@0.474500:0.496832:0.479737:0.496832:0.479737:0.487672:0.474500:0.487672:0.000000
):@0.480333:0.493660:0.485211:0.493660:0.485211:0.477947:0.480333:0.477947:0.000000
+:@0.486242:0.494242:0.501575:0.494242:0.501575:0.476588:0.486242:0.476588:0.000000
p B  p A | B:@0.502587:0.493660:0.594164:0.493660:0.594164:0.477254:0.502587:0.477254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) (:@0.512877:0.493660:0.559926:0.493660:0.559926:0.477947:0.512877:0.477947:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.528654:0.496832:0.533891:0.496832:0.533891:0.487672:0.528654:0.487672:0.000000
2:@0.595214:0.496832:0.600451:0.496832:0.600451:0.487672:0.595214:0.487672:0.000000
):@0.601048:0.493660:0.605926:0.493660:0.605926:0.477947:0.601048:0.477947:0.000000
+:@0.606957:0.494242:0.622290:0.494242:0.622290:0.476588:0.606957:0.476588:0.000000
… p B  p A | B:@0.623302:0.493660:0.750978:0.493660:0.750978:0.477254:0.623302:0.477254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.642740:0.494242:0.658074:0.494242:0.658074:0.476588:0.642740:0.476588:0.000000
( ) (:@0.669376:0.493660:0.716741:0.493660:0.716741:0.477947:0.669376:0.477947:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.685159:0.496832:0.690696:0.496832:0.690696:0.487267:0.685159:0.487267:0.000000
n:@0.752028:0.496832:0.757780:0.496832:0.757780:0.487672:0.752028:0.487672:0.000000
):@0.758376:0.493660:0.763254:0.493660:0.763254:0.477947:0.758376:0.477947:0.000000
p B:@0.293667:0.543558:0.318701:0.543558:0.318701:0.527152:0.293667:0.527152:0.000000:0.000000:0.000000
(  |  ):@0.303956:0.543558:0.353403:0.543555:0.353403:0.527842:0.303956:0.527845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.319731:0.546727:0.321974:0.546727:0.321974:0.537567:0.319731:0.537567:0.000000
A:@0.337610:0.543555:0.347495:0.543555:0.347495:0.527149:0.337610:0.527149:0.000000
=:@0.354434:0.544138:0.369767:0.544138:0.369767:0.526483:0.354434:0.526483:0.000000
p B p A B:@0.412519:0.533325:0.499525:0.533325:0.499525:0.516919:0.412519:0.516919:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) (  |  ):@0.421704:0.533325:0.508279:0.533325:0.508279:0.517613:0.421704:0.517613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.436383:0.536498:0.438626:0.536498:0.438626:0.527337:0.436383:0.527337:0.000000
 :@0.444027:0.533908:0.448629:0.533908:0.448629:0.516254:0.444027:0.516254:0.000000
i:@0.500561:0.536498:0.502804:0.536498:0.502804:0.527337:0.500561:0.527337:0.000000
 :@0.398295:0.562546:0.402327:0.562546:0.402327:0.546833:0.398295:0.546833:0.000000
∑:@0.403573:0.563234:0.418182:0.563234:0.418182:0.537522:0.403573:0.537522:0.000000
n:@0.409002:0.543709:0.414539:0.543709:0.414539:0.534145:0.409002:0.534145:0.000000
i:@0.404849:0.568426:0.407059:0.568426:0.407059:0.558861:0.404849:0.558861:0.000000
=1:@0.407016:0.568426:0.418606:0.568426:0.418606:0.559265:0.407016:0.559265:0.000000:0.000000
 :@0.421134:0.563128:0.425736:0.563128:0.425736:0.545474:0.421134:0.545474:0.000000
p B p A B:@0.426748:0.562546:0.513754:0.562546:0.513754:0.546140:0.426748:0.546140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) (  |  ):@0.435933:0.562546:0.522507:0.562546:0.522507:0.546833:0.435933:0.546833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.450612:0.565718:0.452855:0.565718:0.452855:0.556558:0.450612:0.556558:0.000000
 :@0.458256:0.563128:0.462858:0.563128:0.462858:0.545474:0.458256:0.545474:0.000000
i:@0.514790:0.565718:0.517033:0.565718:0.517033:0.556558:0.514790:0.556558:0.000000
.:@0.551039:0.543560:0.554242:0.543560:0.554242:0.527847:0.551039:0.527847:0.000000
Ejercicio:@0.293650:0.592362:0.356855:0.592362:0.356855:0.575693:0.293650:0.575693:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En una institución educativa se dictan dos idiomas: inglés y mandarín. El 75 % de los :@0.293650:0.619724:0.930554:0.619724:0.930554:0.604012:0.293650:0.604012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estudiantes optó por la asignatura de inglés y el resto, por mandarín. Además, los :@0.293650:0.636366:0.930388:0.636366:0.930388:0.620653:0.293650:0.620653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estudiantes pueden o no jugar fútbol.:@0.293650:0.653008:0.567629:0.653008:0.567629:0.637295:0.293650:0.637295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si se elige un estudiante al azar, ¿cuál es la probabilidad de :@0.511850:0.687512:0.931020:0.687512:0.931020:0.671799:0.511850:0.671799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que sea de la clase de inglés y de que juegue fútbol?:@0.511850:0.704154:0.893248:0.704154:0.893248:0.688441:0.511850:0.688441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea: :@0.511850:0.738658:0.547512:0.738658:0.547512:0.722945:0.511850:0.722945:0.000000:0.000000:0.000000:0.000000:0.000000
I:@0.551738:0.738658:0.555567:0.738658:0.555567:0.722252:0.551738:0.722252:0.000000
=:@0.556082:0.739240:0.571416:0.739240:0.571416:0.721586:0.556082:0.721586:0.000000
 “clase de inglés” ; :@0.572133:0.738658:0.726723:0.738658:0.726723:0.722945:0.572133:0.722945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M:@0.731006:0.738658:0.744886:0.738658:0.744886:0.722252:0.731006:0.722252:0.000000
=:@0.745401:0.739240:0.760734:0.739240:0.760734:0.721586:0.745401:0.721586:0.000000
“clase de mandarín”; :@0.761452:0.738658:0.930909:0.738658:0.930909:0.722945:0.761452:0.722945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.511831:0.755300:0.519875:0.755300:0.519875:0.738894:0.511831:0.738894:0.000000
=:@0.520335:0.755882:0.535669:0.755882:0.535669:0.738228:0.520335:0.738228:0.000000
“fútbol”; :@0.536313:0.755300:0.603827:0.755300:0.603827:0.739587:0.536313:0.739587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.607623:0.755300:0.615667:0.755300:0.615667:0.738894:0.607623:0.738894:0.000000
=:@0.616127:0.755882:0.631460:0.755882:0.631460:0.738228:0.616127:0.738228:0.000000
“otro deporte”. Se nos pide  (  |  ). :@0.632104:0.755300:0.930889:0.755300:0.930889:0.739587:0.632104:0.739587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p I:@0.861238:0.755300:0.882443:0.755300:0.882443:0.738894:0.861238:0.738894:0.000000:0.000000:0.000000
F:@0.907477:0.755300:0.915521:0.755300:0.915521:0.738894:0.907477:0.738894:0.000000
Elaboramos el diagrama del árbol.:@0.511813:0.771942:0.757640:0.771942:0.757640:0.756229:0.511813:0.756229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por el teorema de Bayes tenemos::@0.511813:0.806446:0.756828:0.806446:0.756828:0.790733:0.511813:0.790733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p I F:@0.511813:0.840950:0.555953:0.840950:0.555953:0.824544:0.511813:0.824544:0.000000:0.000000:0.000000:0.000000:0.000000
(  |  ):@0.522103:0.840950:0.561862:0.840950:0.561862:0.825237:0.522103:0.825237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.562893:0.841532:0.578226:0.841532:0.578226:0.823878:0.562893:0.823878:0.000000
p I p F I:@0.645906:0.829052:0.718210:0.829052:0.718210:0.812646:0.645906:0.812646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) (  |  ):@0.655092:0.829052:0.724119:0.829052:0.724119:0.813339:0.655092:0.813339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.669560:0.829635:0.674161:0.829635:0.674161:0.811980:0.669560:0.811980:0.000000
p I p F I:@0.588052:0.850603:0.660356:0.850603:0.660356:0.834197:0.588052:0.834197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) (  |  ):@0.597238:0.850603:0.666265:0.850603:0.666265:0.834891:0.597238:0.834891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.611706:0.851186:0.616307:0.851186:0.616307:0.833531:0.611706:0.833531:0.000000
+:@0.667296:0.851186:0.682629:0.851186:0.682629:0.833531:0.667296:0.833531:0.000000
p M p F M:@0.683641:0.850603:0.776046:0.850603:0.776046:0.834197:0.683641:0.834197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) (  |  ):@0.692826:0.850603:0.781954:0.850603:0.781954:0.834891:0.692826:0.834891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.717345:0.851186:0.721947:0.851186:0.721947:0.833531:0.717345:0.833531:0.000000
p I F:@0.511828:0.904024:0.555969:0.904024:0.555969:0.887617:0.511828:0.887617:0.000000:0.000000:0.000000:0.000000:0.000000
(  |  ):@0.522118:0.904024:0.561877:0.904024:0.561877:0.888311:0.522118:0.888311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.562908:0.904606:0.578241:0.904606:0.578241:0.886952:0.562908:0.886952:0.000000
75:@0.652334:0.879497:0.670226:0.879497:0.670226:0.863784:0.652334:0.863784:0.000000:0.000000
100:@0.647879:0.894017:0.674680:0.894017:0.674680:0.878304:0.647879:0.878304:0.000000:0.000000:0.000000
 :@0.676613:0.885987:0.680644:0.885987:0.680644:0.870275:0.676613:0.870275:0.000000
∙ :@0.681675:0.886570:0.693419:0.886570:0.693419:0.868916:0.681675:0.868916:0.000000:0.000000
20:@0.699820:0.879497:0.717711:0.879497:0.717711:0.863784:0.699820:0.863784:0.000000:0.000000
100:@0.695365:0.894017:0.722166:0.894017:0.722166:0.878304:0.695365:0.878304:0.000000:0.000000:0.000000
75:@0.605581:0.915378:0.623473:0.915378:0.623473:0.899666:0.605581:0.899666:0.000000:0.000000
100:@0.601127:0.929898:0.627927:0.929898:0.627927:0.914186:0.601127:0.914186:0.000000:0.000000:0.000000
 :@0.629860:0.921869:0.633891:0.921869:0.633891:0.906156:0.629860:0.906156:0.000000
∙ :@0.634922:0.922451:0.646666:0.922451:0.646666:0.904797:0.634922:0.904797:0.000000:0.000000
20:@0.653067:0.915378:0.670959:0.915378:0.670959:0.899666:0.653067:0.899666:0.000000:0.000000
100:@0.648612:0.929898:0.675413:0.929898:0.675413:0.914186:0.648612:0.914186:0.000000:0.000000:0.000000
+:@0.677346:0.922451:0.692679:0.922451:0.692679:0.904797:0.677346:0.904797:0.000000
25:@0.699087:0.915378:0.716978:0.915378:0.716978:0.899666:0.699087:0.899666:0.000000:0.000000
100:@0.694632:0.929898:0.721433:0.929898:0.721433:0.914186:0.694632:0.914186:0.000000:0.000000:0.000000
 :@0.723366:0.921869:0.727397:0.921869:0.727397:0.906156:0.723366:0.906156:0.000000
∙ :@0.728428:0.922451:0.740172:0.922451:0.740172:0.904797:0.728428:0.904797:0.000000:0.000000
40:@0.746572:0.915378:0.764464:0.915378:0.764464:0.899666:0.746572:0.899666:0.000000:0.000000
100:@0.742118:0.929898:0.768919:0.929898:0.768919:0.914186:0.742118:0.914186:0.000000:0.000000:0.000000
=:@0.791762:0.904617:0.807095:0.904617:0.807095:0.886962:0.791762:0.886962:0.000000
0,15:@0.809532:0.897540:0.839462:0.897540:0.839462:0.881827:0.809532:0.881827:0.000000:0.000000:0.000000:0.000000
0,25:@0.809532:0.912060:0.839462:0.912060:0.839462:0.896347:0.809532:0.896347:0.000000:0.000000:0.000000:0.000000
=:@0.842978:0.904612:0.858311:0.904612:0.858311:0.886958:0.842978:0.886958:0.000000
0,6.:@0.858219:0.904030:0.882369:0.904030:0.882369:0.888317:0.858219:0.888317:0.000000:0.000000:0.000000:0.000000
75:@0.147691:0.735676:0.165582:0.735676:0.165582:0.719964:0.147691:0.719964:0.000000:0.000000
100:@0.143236:0.750196:0.170037:0.750196:0.170037:0.734484:0.143236:0.734484:0.000000:0.000000:0.000000
25:@0.147691:0.811566:0.165582:0.811566:0.165582:0.795853:0.147691:0.795853:0.000000:0.000000
100:@0.143236:0.826086:0.170037:0.826086:0.170037:0.810373:0.143236:0.810373:0.000000:0.000000:0.000000
M:@0.228959:0.820372:0.242838:0.820372:0.242838:0.803966:0.228959:0.803966:0.000000
I:@0.233984:0.744069:0.237813:0.744069:0.237813:0.727663:0.233984:0.727663:0.000000
F:@0.448999:0.724321:0.457043:0.724321:0.457043:0.707915:0.448999:0.707915:0.000000
F:@0.448999:0.799542:0.457043:0.799542:0.457043:0.783136:0.448999:0.783136:0.000000
F:@0.448999:0.760225:0.457043:0.760225:0.457043:0.743819:0.448999:0.743819:0.000000
F:@0.449002:0.835464:0.457046:0.835464:0.457046:0.819058:0.449002:0.819058:0.000000
20:@0.357125:0.718041:0.375017:0.718041:0.375017:0.702328:0.357125:0.702328:0.000000:0.000000
100:@0.352670:0.732561:0.379471:0.732561:0.379471:0.716848:0.352670:0.716848:0.000000:0.000000:0.000000
40:@0.357125:0.792963:0.375017:0.792963:0.375017:0.777251:0.357125:0.777251:0.000000:0.000000
100:@0.352670:0.807483:0.379471:0.807483:0.379471:0.791771:0.352670:0.791771:0.000000:0.000000:0.000000
80:@0.357125:0.753492:0.375017:0.753492:0.375017:0.737779:0.357125:0.737779:0.000000:0.000000
100:@0.352670:0.768012:0.379471:0.768012:0.379471:0.752299:0.352670:0.752299:0.000000:0.000000:0.000000
60:@0.357125:0.828415:0.375017:0.828415:0.375017:0.812703:0.357125:0.812703:0.000000:0.000000
100:@0.352670:0.842935:0.379471:0.842935:0.379471:0.827223:0.352670:0.827223:0.000000:0.000000:0.000000
Muchas veces, los esquemas :@0.080953:0.183981:0.231196:0.183981:0.231196:0.172553:0.080953:0.172553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ayudan a alcanzar una mejor :@0.080953:0.196084:0.231658:0.196084:0.231658:0.184656:0.080953:0.184656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comprensión.:@0.080953:0.208187:0.152220:0.208187:0.152220:0.196759:0.080953:0.196759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para el cálculo de la probabilidad :@0.080953:0.227441:0.252966:0.227441:0.252966:0.216014:0.080953:0.216014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mediante el teorema de Bayes, se :@0.080953:0.239544:0.255866:0.239544:0.255866:0.228117:0.080953:0.228117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sugiere realizar un diagrama del :@0.080953:0.251647:0.247373:0.251647:0.247373:0.240220:0.080953:0.240220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
árbol como el que se presenta a :@0.080953:0.263750:0.248819:0.263750:0.248819:0.252323:0.080953:0.252323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
continuación.:@0.080953:0.275854:0.151663:0.275854:0.151663:0.264426:0.080953:0.264426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pr B Pr A B:@0.169371:0.297161:0.234327:0.297161:0.234327:0.285230:0.169371:0.285230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.179274:0.296846:0.182378:0.296846:0.182378:0.286847:0.179274:0.286847:0.000000
1:@0.188705:0.299469:0.192514:0.299469:0.192514:0.292806:0.188705:0.292806:0.000000
)  (  |  ):@0.192479:0.297161:0.241601:0.297161:0.241601:0.285734:0.192479:0.285734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.234278:0.299469:0.238087:0.299469:0.238087:0.292806:0.234278:0.292806:0.000000
Pr B Pr A B:@0.169378:0.354137:0.234764:0.354139:0.234764:0.342208:0.169378:0.342205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )  (  |  ):@0.179284:0.354137:0.242036:0.354139:0.242036:0.342712:0.179284:0.342710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.189140:0.356447:0.192949:0.356447:0.192949:0.349785:0.189140:0.349785:0.000000
2:@0.234715:0.356447:0.238524:0.356447:0.238524:0.349785:0.234715:0.349785:0.000000
Pr B Pr A B:@0.169371:0.409461:0.235138:0.409460:0.235138:0.397528:0.169371:0.397529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )  (  |  ):@0.179277:0.409461:0.242786:0.409460:0.242786:0.398032:0.179277:0.398034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.189140:0.411767:0.193324:0.411767:0.193324:0.405105:0.189140:0.405105:0.000000
n:@0.235090:0.411767:0.239273:0.411767:0.239273:0.405105:0.235090:0.405105:0.000000
Pr B Pr A B:@0.169371:0.317657:0.238935:0.317661:0.238935:0.305729:0.169371:0.305726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )  (  |  ):@0.179277:0.317657:0.246208:0.317661:0.246208:0.306234:0.179277:0.306230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.189140:0.319968:0.192949:0.319968:0.192949:0.313306:0.189140:0.313306:0.000000
C:@0.219812:0.313251:0.224011:0.313251:0.224011:0.306295:0.219812:0.306295:0.000000
1:@0.238885:0.319968:0.242694:0.319968:0.242694:0.313306:0.238885:0.313306:0.000000
Pr B Pr A B:@0.169366:0.374637:0.238935:0.374639:0.238935:0.362708:0.169366:0.362705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )  (  |  ):@0.179272:0.374637:0.246208:0.374639:0.246208:0.363212:0.179272:0.363209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.189140:0.376946:0.192949:0.376946:0.192949:0.370284:0.189140:0.370284:0.000000
C:@0.219812:0.370229:0.224011:0.370229:0.224011:0.363273:0.219812:0.363273:0.000000
2:@0.238885:0.376946:0.242694:0.376946:0.242694:0.370284:0.238885:0.370284:0.000000
Pr B Pr A B:@0.169366:0.429961:0.239310:0.429959:0.239310:0.418028:0.169366:0.418029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )  (  |  ):@0.179272:0.429961:0.246956:0.429959:0.246956:0.418532:0.179272:0.418533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.189140:0.432267:0.193324:0.432267:0.193324:0.425604:0.189140:0.425604:0.000000
C:@0.220185:0.425549:0.224384:0.425549:0.224384:0.418593:0.220185:0.418593:0.000000
n:@0.239260:0.432267:0.243443:0.432267:0.243443:0.425604:0.239260:0.425604:0.000000
B:@0.115562:0.297359:0.121987:0.297359:0.121987:0.285428:0.115562:0.285428:0.000000
1:@0.121936:0.299663:0.125744:0.299663:0.125744:0.293001:0.121936:0.293001:0.000000
B:@0.115558:0.354180:0.121984:0.354180:0.121984:0.342248:0.115558:0.342248:0.000000
2:@0.121936:0.356487:0.125744:0.356487:0.125744:0.349825:0.121936:0.349825:0.000000
B:@0.115558:0.408938:0.121984:0.408938:0.121984:0.397006:0.115558:0.397006:0.000000
n:@0.121936:0.411245:0.126119:0.411245:0.126119:0.404583:0.121936:0.404583:0.000000
•:@0.154019:0.299179:0.157326:0.299179:0.157326:0.287751:0.154019:0.287751:0.000000
•:@0.154019:0.356285:0.157326:0.356285:0.157326:0.344858:0.154019:0.344858:0.000000
•:@0.154006:0.411536:0.157313:0.411536:0.157313:0.400109:0.154006:0.400109:0.000000
•:@0.154019:0.319401:0.157326:0.319401:0.157326:0.307974:0.154019:0.307974:0.000000
•:@0.154006:0.376437:0.157313:0.376437:0.157313:0.365010:0.154006:0.365010:0.000000
•:@0.153631:0.431476:0.156938:0.431476:0.156938:0.420049:0.153631:0.420049:0.000000
A:@0.152078:0.292572:0.159267:0.292572:0.159267:0.280641:0.152078:0.280641:0.000000
A:@0.152078:0.349397:0.159267:0.349397:0.159267:0.337465:0.152078:0.337465:0.000000
A:@0.152078:0.404153:0.159267:0.404153:0.159267:0.392222:0.152078:0.392222:0.000000
A:@0.151114:0.312674:0.158303:0.312674:0.158303:0.300742:0.151114:0.300742:0.000000
C:@0.158263:0.308271:0.162462:0.308271:0.162462:0.301315:0.158263:0.301315:0.000000
A:@0.151121:0.369505:0.158310:0.369505:0.158310:0.357574:0.151121:0.357574:0.000000
C:@0.158263:0.365095:0.162462:0.365095:0.162462:0.358139:0.158263:0.358139:0.000000
A:@0.151121:0.424263:0.158310:0.424263:0.158310:0.412332:0.151121:0.412332:0.000000
C:@0.158263:0.419853:0.162462:0.419853:0.162462:0.412897:0.158263:0.412897:0.000000
•:@0.085130:0.365223:0.088437:0.365223:0.088437:0.353795:0.085130:0.353795:0.000000
•:@0.117821:0.306603:0.121128:0.306603:0.121128:0.295176:0.117821:0.295176:0.000000
•:@0.117821:0.419041:0.121128:0.419041:0.121128:0.407614:0.117821:0.407614:0.000000
•:@0.117821:0.364295:0.121128:0.364295:0.121128:0.352867:0.117821:0.352867:0.000000
Competencia :@0.080953:0.145303:0.189513:0.145303:0.189513:0.128356:0.080953:0.128356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.080953:0.161945:0.178428:0.161945:0.178428:0.144998:0.080953:0.144998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Thomas Bayes :@0.078581:0.561320:0.185560:0.561320:0.185560:0.545608:0.078581:0.545608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(1702-1761) fue un :@0.078581:0.577962:0.219691:0.577962:0.219691:0.562249:0.078581:0.562249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemático inglés cuyo :@0.078581:0.594604:0.257190:0.594604:0.257190:0.578891:0.078581:0.578891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aporte fundamental :@0.078581:0.611246:0.228753:0.611246:0.228753:0.595533:0.078581:0.595533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fue el cálculo de la :@0.078581:0.627888:0.217040:0.627888:0.217040:0.612175:0.078581:0.612175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
probabilidad condicional :@0.078581:0.644529:0.263660:0.644529:0.263660:0.628817:0.078581:0.628817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de un evento aleatorio.:@0.078581:0.661171:0.245934:0.661171:0.245934:0.645459:0.078581:0.645459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad :@0.078581:0.496320:0.244955:0.496320:0.244955:0.479373:0.078581:0.479373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemáticas e :@0.078581:0.512962:0.188402:0.512962:0.188402:0.497249:0.078581:0.497249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
historia:@0.078581:0.529604:0.131763:0.529604:0.131763:0.513891:0.078581:0.513891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000