Question

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?

Answer 1

Your Answer: Option A
Hope this helped!

Answer 2

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.

Step-by-step explanation:

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

Therefore, we get

`P(B|A)=(P(BandA))/(P(A))=(P(B)P(A))/(P(A))=P(B)=y`

Therefore, P(B|A) = y

So, A is the correct option.