Question

If P(B|A) = P(B), then events A and B are independent. True or false?

Answer 1

True

Explanation:

Conditional probability is:

P(B|A) = P(B and A) / P(A)

If A and B are independent, then P(B and A) = P(B) × P(A).

P(B|A) = P(B) × P(A) / P(A)

P(B|A) = P(B)