if events a and b are independent, what must be true?\no (p(a|b)=p(b))\no (p(a|b)=p(a))\no (p(a)=p(b))\no…

Brief Explanations:

By the definition of independent events, the occurrence of one event does not affect the probability of the other. The conditional - probability formula is $P(A|B)=\frac{P(A\cap B)}{P(B)}$. For independent events $A$ and $B$, $P(A\cap B)=P(A)\times P(B)$. 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:

B. $P(A|B)=P(A)$