Question

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?

Answer 1

Answer:

P(B|A)=y

Step-by-step explanation:

The complete question is shown in the attachment.

If the events, A and B are independent, then

P(A and B) = P(A)×P(B)

But from the question:

P(A)=x and P(B)=y

This implies that:

P(A and B) = xy

Also, the conditional probabilities are:

P(A\B)=P(A)=x

P(B\A)=P(B)=y

Therefore the correct answer is A