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Select the correct answer.The probability of event A is x, and the probability of event B is y. If the two events are independent, which of these conditions must be true?

Select the correct answerThe probability of event A is x and the probability of event B is y If the two events are independent which of these conditions must be class=

Respuesta :

Given:

it is given that the probability of event A is x, and the probability of event B is y.

Find:

we have to find the correct option for the probability, if A and B are independent events.

Explanation:

if A and B are two independent events, then P(A and B) = P(A) P(B)

Therefore, we get

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

Therefore, P(B|A) = y

So, A is the correct option.

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