(b) If P(A | B) : 0.4, compute P(A and B). We are given that PM i B) = 0.4 and PEA) = 0.7. Since PM | E) = PM), the occurrence of event B changes the probability that event A will occur. This implies that/4 and B are not independent v events. So, to determine PM and B), we can apply the general multiplication rule for events. Recall that {3(3) : 0.9. pm and a) : 9(3) - pm | a) =r0-91-(|:|x) =:x