Compute conditional probability as the fraction of one event's outcomes that also belong to another event.
Find a conditional probability from the overlap and the given event
Problem
Compute \(P(A|B)\) by dividing the joint probability \(12\%\) by the condition probability \(30\%\).
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What this problem is really about
Conditional probability is the overlap probability divided by the condition probability. We’ll place those percentages in the correct roles, cancel their common percent units, reduce the numerical ratio, convert it back to a percent, and interpret it within the conditioned event.
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