Question

If A and B are independent events, then it must be true that P(A|B)=P(A)?

Answer 1

True : If A and B are independent events, then P(A|B)=P(A) is true.

Explanation:

If A and B are independent, P(A and B) = P(A) * P(B)

P(A|B) conditional probability, P(A) given B has already happened

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

= P(A)*P(B) / P(B)

= P(A)

Therefore

If A and B are independent events, P(A|B)=P(A) is true.