Question

If events A and B are independent, what must be true?

P(A|B) = P(B)

P(A|B) = P(A)

P(A) = P(B) 

P(A|B) = P(B|A)

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Answer 1

B

Explanation:

Answer 2

P(A|B) = P(A)

Explanation:

If events A and B are independent, then we have:

P(A) x P(B) = P(A⋂B)

As the conditional probability formula states:

P(A⋂B) = P(A|B) x P(B) = P(B|A) x P(A)

=> P(A) x P(B) = P(A|B) x P(B) = P(B|A) x P(A)

or

P(A) = P(A|B)

or

P(B) = P(B|A)