Apply and interpret the general Multiplication Rule with conditional probability.
Find a joint probability from a marginal probability and a conditional probability
Problem
Use \(P(A~\text{and}~B)=P(A)P(B|A)\) to multiply \(0.40\) by \(0.25\).
Big Picture
What this problem is really about
A joint path equals the first event’s probability times the second event’s conditional probability after the first. We’ll write the multiplication rule in that order, substitute and multiply, and divide the joint result by the first marginal to recover the supplied conditional rate.
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