Compute conditional probability as the fraction of one event's outcomes that also belong to another event.
Identify the numerator and reference subgroup in a conditional probability
Problem
Interpret \(P(\text{likes}~\text{art}|\text{senior})=18/30\) by naming the \(30\text{-}\text{person}\) conditioned subgroup and the \(18\) people within it who meet the target event.
Big Picture
What this problem is really about
A conditional fraction names its reference subgroup in the denominator and its target-within-group count in the numerator. We’ll identify seniors as the condition, art-liking seniors as the favorable subset, state the among-group meaning, and reduce the fraction to check the corresponding rate.
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