if events a and b are independent, what must be true?\np(a|b) = p(b)\np(a|b) = p(a)\np(a) = p(b)\np(a|b) =…

Brief Explanations:

If events A and B are independent, the occurrence of B does not affect the probability of A. The conditional - probability formula is (P(A|B)=\frac{P(A\cap B)}{P(B)}). For independent events, (P(A\cap B)=P(A)\times P(B)). Substituting (P(A\cap B)=P(A)\times P(B)) into the conditional - probability formula gives (P(A|B)=\frac{P(A)\times P(B)}{P(B)} = P(A)).

Answer:

P(A|B) = P(A)