Compute conditional probability as the fraction of one event's outcomes that also belong to another event.
Evaluate and compare two conditional rates
Problem
Compare the pass rates \(0.85\) for students who studied and \(0.45\) for students who did not. Identify the higher rate and subtract to express the gap in percentage points.
Big Picture
What this problem is really about
Comparable conditional rates measure the same outcome within different groups. We’ll align the studied and not-studied pass rates, identify which is larger, subtract smaller from larger, and express the absolute gap in percentage points rather than as a relative-percent claim.
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