Apply and interpret the general Multiplication Rule with conditional probability.
Find a joint probability by multiplying a marginal probability and a conditional probability
Problem
Use \(P(A~\text{and}~B)=P(B)P(A|B)\) and multiply \(0.30\) by \(0.60\).
Big Picture
What this problem is really about
The multiplication rule can begin with B and then use A given B along the same path. We’ll preserve that marginal-then-conditional order, multiply the two rates for the joint event, and divide back by B’s probability to verify the conditional.
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