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Which statement implies that A and B are independent events?

And the answers are:
P(B|A) = P(B A)

P(B|A) = P(B)
P(A)

P(B|A) = P(A)
P(B|A) = P(B)

Respuesta :

Cathfish
The kast one is the answer. It is the only one unaffected by A to any degree.

Answer:

The correct option is D.

Step-by-step explanation:

Two events are known as independent events if the probability of one event does not affect the probability of second event.

If A and B are two independent event, then

[tex]P(A\cap B)=P(A)\cdot P(B)[/tex]                 .... (1)

The formula of conditional probability is

[tex]P(B|A)=\frac{P(A\cap B)}{P(A)}[/tex]

If A and B are two independent event, then by using equation (1) we get

[tex]P(B|A)=\frac{P(A)\cdot P(B)}{P(A)}[/tex]

[tex]P(B|A)=P(B)[/tex]

Therefore the correct option is D.

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