229:@0.890754:0.963104:0.932133:0.963104:0.932133:0.941283:0.890754:0.941283:0.000000:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9.º EGB:@0.829358:0.967458:0.879897:0.967458:0.879897:0.954794:0.829358:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.748004:0.068322:0.791647:0.068322:0.791647:0.048070:0.748004:0.048070:0.000000:0.000000:0.000000
. Representación:@0.791647:0.067693:0.923937:0.067693:0.923937:0.050792:0.791647:0.050792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Probabilidad de eventos compuestos :@0.095801:0.103970:0.393993:0.103970:0.393993:0.087069:0.095801:0.087069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los eventos o sucesos compuestos son probabilidades de dos o más situaciones :@0.095801:0.127689:0.716543:0.127689:0.716543:0.111300:0.095801:0.111300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que pasan al mismo tiempo.:@0.095801:0.144285:0.303716:0.144285:0.303716:0.127896:0.095801:0.127896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos::@0.095801:0.175141:0.166158:0.175141:0.166158:0.158503:0.095801:0.158503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.095801:0.198860:0.113842:0.198860:0.113842:0.181959:0.095801:0.181959:0.000000:0.000000:0.000000
¿Cuál es la probabilidad de que una persona gane en un sorteo un viaje de por lo :@0.119536:0.198860:0.716497:0.198860:0.716497:0.182471:0.119536:0.182471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
menos 2 días a una de las regiones de clima cálido? Las opciones de viaje se :@0.119536:0.215456:0.716554:0.215456:0.716554:0.199067:0.119536:0.199067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
muestran en el siguiente modelo de área.:@0.119536:0.232052:0.423826:0.232052:0.423826:0.215664:0.119536:0.215664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 día:@0.289859:0.267271:0.324838:0.267271:0.324838:0.251907:0.289859:0.251907:0.000000:0.000000:0.000000:0.000000:0.000000
2 días:@0.435957:0.267271:0.477922:0.267271:0.477922:0.251907:0.435957:0.251907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 días:@0.585539:0.267271:0.627504:0.267271:0.627504:0.251907:0.585539:0.251907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Costa (C):@0.134129:0.293448:0.193900:0.293448:0.193900:0.278549:0.134129:0.278549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1C:@0.298503:0.293448:0.316227:0.293448:0.316227:0.278549:0.298503:0.278549:0.000000:0.000000
2C:@0.448086:0.293448:0.465810:0.293448:0.465810:0.278549:0.448086:0.278549:0.000000:0.000000
3C:@0.597668:0.293448:0.615392:0.293448:0.615392:0.278549:0.597668:0.278549:0.000000:0.000000
Sierra (S):@0.134129:0.317135:0.191456:0.317135:0.191456:0.302236:0.134129:0.302236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1S:@0.299391:0.317135:0.315340:0.317135:0.315340:0.302236:0.299391:0.302236:0.000000:0.000000
2S:@0.448973:0.317135:0.464922:0.317135:0.464922:0.302236:0.448973:0.302236:0.000000:0.000000
3S:@0.598556:0.317135:0.614504:0.317135:0.614504:0.302236:0.598556:0.302236:0.000000:0.000000
Oriente (O):@0.134129:0.340823:0.207938:0.340823:0.207938:0.325924:0.134129:0.325924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1O:@0.297649:0.340823:0.317065:0.340823:0.317065:0.325924:0.297649:0.325924:0.000000:0.000000
2O:@0.447231:0.340823:0.466647:0.340823:0.466647:0.325924:0.447231:0.325924:0.000000:0.000000
3O:@0.596813:0.340823:0.616229:0.340823:0.616229:0.325924:0.596813:0.325924:0.000000:0.000000
Solución:@0.095800:0.379426:0.159578:0.379426:0.159578:0.362788:0.095800:0.362788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Llamaremos P a la probabilidad. Los casos posibles son 9 y los favorables son 4: 2C, :@0.095800:0.403145:0.716498:0.403145:0.716498:0.386756:0.095800:0.386756:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2O, 3C y 3O. Por lo tanto, la probabilidad aplicando la regla de Laplace es:  :@0.095800:0.425771:0.637659:0.425771:0.637659:0.409382:0.095800:0.409382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.653309:0.426983:0.663426:0.426983:0.663426:0.411410:0.653309:0.411410:0.000000
P:@0.640281:0.426306:0.649052:0.426306:0.649052:0.409944:0.640281:0.409944:0.000000
4:@0.668917:0.417343:0.677910:0.417343:0.677910:0.400955:0.668917:0.400955:0.000000
9:@0.668753:0.436796:0.677746:0.436796:0.677746:0.420408:0.668753:0.420408:0.000000
Los sucesos compuestos pueden ser de los siguientes tipos::@0.105298:0.461561:0.543426:0.461561:0.543426:0.445173:0.105298:0.445173:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Independientes:@0.105298:0.485280:0.230788:0.485280:0.230788:0.468380:0.105298:0.468380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: cuando la ocurrencia de uno no afecta la ocurrencia de otro, :@0.230788:0.485280:0.707087:0.485280:0.707087:0.468892:0.230788:0.468892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bien sea porque el espacio muestral regresa a ser el mismo o porque son espacios :@0.105298:0.501877:0.707087:0.501877:0.707087:0.485488:0.105298:0.485488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
muestrales diferentes. En este caso:  (  y  ) =  ( ) ×  ( ). :@0.105298:0.518473:0.521077:0.518473:0.521077:0.502084:0.105298:0.502084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P A B:@0.366450:0.518473:0.415026:0.518473:0.415026:0.502112:0.366450:0.502112:0.000000:0.000000:0.000000:0.000000:0.000000
P A:@0.438963:0.518473:0.462514:0.518473:0.462514:0.502112:0.438963:0.502112:0.000000:0.000000:0.000000
P B:@0.486451:0.518473:0.508951:0.518473:0.508951:0.502112:0.486451:0.502112:0.000000:0.000000:0.000000
Incompatibles:@0.105298:0.542192:0.218867:0.542192:0.218867:0.525292:0.105298:0.525292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.218867:0.542192:0.222074:0.542192:0.222074:0.525803:0.218867:0.525803:0.000000
cuando:@0.246030:0.542192:0.302105:0.542192:0.302105:0.525803:0.246030:0.525803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no:@0.326061:0.542192:0.345741:0.542192:0.345741:0.525803:0.326061:0.525803:0.000000:0.000000
tienen:@0.369697:0.542192:0.416872:0.542192:0.416872:0.525803:0.369697:0.525803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sucesos:@0.440828:0.542192:0.498193:0.542192:0.498193:0.525803:0.440828:0.525803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elementales:@0.522140:0.542192:0.611606:0.542192:0.611606:0.525803:0.522140:0.525803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunes. :@0.635521:0.542204:0.706801:0.542204:0.706801:0.525815:0.635521:0.525815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La :@0.105296:0.558800:0.124714:0.558800:0.124714:0.542411:0.105296:0.542411:0.000000:0.000000:0.000000
probabilidad se calcula con la fórmula:  (  o  ) =  ( ) +  ( ).:@0.124716:0.558800:0.562184:0.558800:0.562184:0.542411:0.124716:0.542411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P A B:@0.409898:0.558800:0.460169:0.558800:0.460169:0.542439:0.409898:0.542439:0.000000:0.000000:0.000000:0.000000:0.000000
P A:@0.484106:0.558800:0.507657:0.558800:0.507657:0.542439:0.484106:0.542439:0.000000:0.000000:0.000000
P B:@0.531594:0.558800:0.554094:0.558800:0.554094:0.542439:0.531594:0.542439:0.000000:0.000000:0.000000
Compatibles:@0.105293:0.582519:0.205779:0.582519:0.205779:0.565618:0.105293:0.565618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: cuando tienen sucesos elementales comunes. La probabilidad es :@0.205779:0.582519:0.707066:0.582519:0.707066:0.566130:0.205779:0.566130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igual a:  (  o  ) =  ( ) +  ( ) –  ( ) ×  ( ).:@0.105293:0.599115:0.405313:0.599115:0.405313:0.582726:0.105293:0.582726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P A B:@0.160871:0.599115:0.211141:0.599115:0.211141:0.582754:0.160871:0.582754:0.000000:0.000000:0.000000:0.000000:0.000000
P A:@0.235079:0.599115:0.258629:0.599115:0.258629:0.582754:0.235079:0.582754:0.000000:0.000000:0.000000
P B:@0.282567:0.599115:0.305067:0.599115:0.305067:0.582754:0.282567:0.582754:0.000000:0.000000:0.000000
P A:@0.327235:0.599115:0.350786:0.599115:0.350786:0.582754:0.327235:0.582754:0.000000:0.000000:0.000000
P B:@0.374723:0.599115:0.397224:0.599115:0.397224:0.582754:0.374723:0.582754:0.000000:0.000000:0.000000
2.:@0.095803:0.637024:0.110029:0.637024:0.110029:0.620123:0.095803:0.620123:0.000000:0.000000
Clasificar los siguientes sucesos compuestos en independientes, incompatibles :@0.119538:0.637024:0.716554:0.637024:0.716554:0.620635:0.119538:0.620635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y compatibles.:@0.119538:0.653620:0.225771:0.653620:0.225771:0.637232:0.119538:0.637232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.095803:0.677339:0.114525:0.677339:0.114525:0.660439:0.095803:0.660439:0.000000:0.000000:0.000000
Lanzar un dado y obtener un múltiplo de 3 o un divisor de 10.:@0.119538:0.677339:0.572083:0.677339:0.572083:0.660951:0.119538:0.660951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.095803:0.701058:0.115834:0.701058:0.115834:0.684158:0.095803:0.684158:0.000000:0.000000:0.000000
Lanzar una moneda dos veces y obtener en las dos ocasiones cara.:@0.119538:0.701058:0.607372:0.701058:0.607372:0.684670:0.119538:0.684670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.095803:0.724777:0.113438:0.724777:0.113438:0.707877:0.095803:0.707877:0.000000:0.000000:0.000000
Extraer de un naipe de 52 cartas un as o una carta de diamante.:@0.119538:0.724777:0.584187:0.724777:0.584187:0.708389:0.119538:0.708389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.095803:0.758095:0.159581:0.758095:0.159581:0.741457:0.095803:0.741457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.095803:0.781814:0.114525:0.781814:0.114525:0.764913:0.095803:0.764913:0.000000:0.000000:0.000000
Los sucesos elementales para el suceso A son 3 y 6 y los sucesos elementales del :@0.119538:0.781814:0.716639:0.781814:0.716639:0.765425:0.119538:0.765425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
suceso B son 1, 2 y 5. No hay sucesos elementales comunes; por lo tanto, son :@0.119538:0.798410:0.716582:0.798410:0.716582:0.782021:0.119538:0.782021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incompatibles.:@0.119538:0.815006:0.227356:0.815006:0.227356:0.798617:0.119538:0.798617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.095803:0.838725:0.115834:0.838725:0.115834:0.821825:0.095803:0.821825:0.000000:0.000000:0.000000
El primer lanzamiento no incide en el segundo lanzamiento, por lo tanto, son :@0.119538:0.838725:0.716593:0.838725:0.716593:0.822336:0.119538:0.822336:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sucesos independientes.:@0.119538:0.855322:0.299701:0.855322:0.299701:0.838933:0.119538:0.838933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.095803:0.879041:0.113438:0.879041:0.113438:0.862140:0.095803:0.862140:0.000000:0.000000:0.000000
Estos dos sucesos tienen un suceso en común, extraer un as o una carta :@0.119538:0.879041:0.716556:0.879041:0.716556:0.862652:0.119538:0.862652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de diamante; por lo tanto, son sucesos compatibles.:@0.119538:0.895637:0.499379:0.895637:0.499379:0.879248:0.119538:0.879248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  :@0.755005:0.138353:0.767435:0.138353:0.767435:0.122775:0.755005:0.122775:0.000000:0.000000:0.000000
Dos eventos son :@0.764503:0.138353:0.878736:0.138353:0.878736:0.123454:0.764503:0.123454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dependientes :@0.764503:0.153441:0.860928:0.153441:0.860928:0.138542:0.764503:0.138542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si el resultado :@0.764503:0.168529:0.859322:0.168529:0.859322:0.153630:0.764503:0.153630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del primer evento :@0.764503:0.183616:0.887632:0.183616:0.887632:0.168717:0.764503:0.168717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
afecta al resultado :@0.764503:0.198704:0.889357:0.198704:0.889357:0.183805:0.764503:0.183805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del segundo evento.:@0.764503:0.213791:0.901369:0.213791:0.901369:0.198892:0.764503:0.198892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos de estos sucesos :@0.755005:0.236008:0.934371:0.236008:0.934371:0.221109:0.755005:0.221109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son aquellos en los que, :@0.755005:0.251096:0.918119:0.251096:0.918119:0.236197:0.755005:0.236197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
después de extraer :@0.755005:0.266183:0.885569:0.266183:0.885569:0.251284:0.755005:0.251284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
canicas, bolas o cartas, :@0.755005:0.281271:0.907986:0.281271:0.907986:0.266372:0.755005:0.266372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estas no son devueltas :@0.755005:0.296358:0.909594:0.296358:0.909594:0.281459:0.755005:0.281459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al grupo del que :@0.755005:0.311446:0.868703:0.311446:0.868703:0.296547:0.755005:0.296547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se extrajeron. :@0.755005:0.326534:0.847242:0.326534:0.847242:0.311635:0.755005:0.311635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La probabilidad :@0.755005:0.341621:0.862857:0.341621:0.862857:0.326722:0.755005:0.326722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de estos sucesos es igual :@0.755005:0.356709:0.924386:0.356709:0.924386:0.341810:0.755005:0.341810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al producto de las :@0.755005:0.371796:0.878049:0.371796:0.878049:0.356897:0.755005:0.356897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
probabilidades de los :@0.755005:0.386884:0.901739:0.386884:0.901739:0.371985:0.755005:0.371985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
eventos individuales, :@0.755005:0.401972:0.897767:0.401972:0.897767:0.387073:0.755005:0.387073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tomando en cuenta que :@0.755005:0.417059:0.921456:0.417059:0.921456:0.402160:0.755005:0.402160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el número de elementos :@0.755005:0.432147:0.922843:0.432147:0.922843:0.417248:0.755005:0.417248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del espacio muestral :@0.755005:0.447235:0.896177:0.447235:0.896177:0.432336:0.755005:0.432336:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
disminuye. :@0.755005:0.462322:0.830757:0.462322:0.830757:0.447423:0.755005:0.447423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P(A y B) = P(A) × P(B):@0.755005:0.480968:0.902340:0.480968:0.902340:0.465604:0.755005:0.465604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  :@0.755005:0.496056:0.767435:0.496056:0.767435:0.480478:0.755005:0.480478:0.000000:0.000000:0.000000
La probabilidad puede :@0.764503:0.496056:0.919530:0.496056:0.919530:0.481157:0.764503:0.481157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ser expresada en forma :@0.764503:0.511143:0.923045:0.511143:0.923045:0.496244:0.764503:0.496244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
porcentual; para ello, :@0.764503:0.526231:0.907299:0.526231:0.907299:0.511332:0.764503:0.511332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se multiplica su valor :@0.764503:0.541318:0.907502:0.541318:0.907502:0.526419:0.764503:0.526419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por 100.:@0.764503:0.556406:0.818714:0.556406:0.818714:0.541507:0.764503:0.541507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.755815:0.589036:0.764965:0.589036:0.769717:0.572825:0.760567:0.572825:0.000000
4:@0.789545:0.580603:0.798440:0.580603:0.798440:0.564392:0.789545:0.564392:0.000000
24:@0.784832:0.599840:0.802422:0.599840:0.802422:0.583629:0.784832:0.583629:0.000000:0.000000
1:@0.822219:0.580603:0.831113:0.580603:0.831113:0.564392:0.822219:0.564392:0.000000
6:@0.821443:0.599840:0.830338:0.599840:0.830338:0.583629:0.821443:0.583629:0.000000
16,67%:@0.846039:0.589036:0.904323:0.589036:0.904323:0.572825:0.846039:0.572825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.770851:0.589706:0.744603:0.589706:0.744603:0.574302:0.770851:0.574302:0.000000
=:@0.807105:0.589706:0.780857:0.589706:0.780857:0.574302:0.807105:0.574302:0.000000
=:@0.834646:0.589706:0.844653:0.589706:0.844653:0.574302:0.834646:0.574302:0.000000
     Matemática:@0.775870:0.105910:0.883411:0.105910:0.883411:0.089009:0.775870:0.089009:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuando cometas errores, :@0.755005:0.775898:0.924922:0.775898:0.924922:0.760999:0.755005:0.760999:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reconócelos y aprende de :@0.755005:0.790986:0.931707:0.790986:0.931707:0.776087:0.755005:0.776087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ellos. Asumir la :@0.755005:0.806073:0.857260:0.806073:0.857260:0.791174:0.755005:0.791174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
responsabilidad de tus :@0.755005:0.821161:0.909328:0.821161:0.909328:0.806262:0.755005:0.806262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
acciones demostrará a los :@0.755005:0.836248:0.930704:0.836248:0.930704:0.821349:0.755005:0.821349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
demás que eres una :@0.755005:0.851336:0.893327:0.851336:0.893327:0.836437:0.755005:0.836437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
persona íntegra y con :@0.755005:0.866424:0.903680:0.866424:0.903680:0.851525:0.755005:0.851525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valores.:@0.755005:0.881511:0.804508:0.881511:0.804508:0.866612:0.755005:0.866612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   Ética e integridad:@0.770087:0.743457:0.912938:0.743457:0.912938:0.726557:0.770087:0.726557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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 :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000