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Probabilidad y Combinatoria (Nivel Medio)

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Problemas de conteo y probabilidad

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Probabilidad y Combinatoria (Nivel Medio)
 

Probabilidad y Combinatoria (Nivel Medio)Online version

Problemas de conteo y probabilidad

by Ruth Cumbicos
1

¿Qué describe una permutación sin repetición de n objetos?

2

¿Cuántas combinaciones de k objetos se pueden formar de n sin importar el orden?

3

Regla de la suma en probabilidad se aplica cuando:

4

Regla de la multiplicación para probabilidades se usa cuando:

5

¿Qué es probabilidad condicional?

6

Fórmula de probabilidad condicional (P(A|B)) es:

7

¿Qué afirma el Teorema de Bayes?

8

Si A y B son independientes, ¿cómo es P(A|B)?

9

En un dado justo de 6 caras, ¿P(6)?

10

¿Qué representa una permutación circular de n objetos?

Explicación

En permutaciones se ordenan todos los objetos, sin repetición.

Las combinaciones no consideran el orden.

Si son mutuamente excluyentes, P(A∪B)=P(A)+P(B).

Para independencia, P(A∩B)=P(A)P(B).

P(A|B) es la probabilidad de A sabiendo que B ocurrió.

P(A|B)=Prob(A∩B)/Prob(B).

Bayes actualiza creencias con P(A|B) usando P(B|A) y P(A).

Independencia implica P(A|B)=P(A).

Cada cara tiene la misma probabilidad 1/6.

En permutaciones circulares, solo importa la posición relativa, rotaciones equivalentes.

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