Apply and interpret the general Multiplication Rule with conditional probability.
Find a conditional probability from a joint probability and a marginal probability
Problem
Use \(P(B|A)=P(A~\text{and}~B)/P(A)\) and divide \(0.18\) by \(0.30\).
Big Picture
What this problem is really about
To find B given A, divide the joint probability by A’s marginal because A supplies the conditioned group. We’ll preserve that numerator-denominator direction, reduce the quotient, interpret the within-A rate, and multiply it by A’s probability to recover the joint.
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