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Probabilidad Condicional

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Probabilidad Condicional

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Quiz de probabilidad condicional

Created by

Maifely Ortega
Maifely Ortega
Colombia

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Probabilidad Condicional
 

Probabilidad CondicionalOnline version

Quiz de probabilidad condicional

by Maifely Ortega
1

¿Qué representa P(A|B)?

2

La probabilidad condicional se define como P(A∩B)/P(B). ¿Qué significa A∩B?

3

Si P(B)=0.4 y P(A∩B)=0.2, ¿P(A|B)?

4

Si A y B son independientes, ¿P(A|B)?

5

¿Qué indica que A y B sean dependientes?

6

Si P(A)=0.6, P(A|B)=0.5 y P(B)=0.4, ¿P(A∩B)?

7

¿Qué es la regla de la probabilidad total?

8

Si conoces que un evento A es más probable que B, ¿qué no implica?

9

Bayes: ¿Qué se obtiene al invertir P(B|A) a partir de P(A|B)?

10

Si A es evento de aprobar y B de aprobar con crédito, ¿P(A|B)=?

Explicación

P(A|B) es la probabilidad de A bajo la suposición de que B es cierto.

A∩B es la intersección: A y B ocurren juntos.

P(A|B)=0.2/0.4=0.5.

Para independencia P(A|B)=P(A).

Dependencia implica que P(A|B)≠P(A).

P(A∩B)=P(A|B)P(B)=0.5×0.4=0.20.

Se descompone P(A) con B y su complemento.

No siempre P(A|B)≥P(A); depende de la relación.

Se usa la fórmula de Bayes: P(B|A)=P(A|B)P(B)/P(A).

Es la probabilidad de aprobar sabiendo que ya se tiene crédito.

 
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