Apply and interpret the general Multiplication Rule with conditional probability.
Interpret an unordered intersection or ordered joint path in context
Problem
Interpret \(P(\text{pass}~\text{and}~\text{studied})=0.54\) as the share of the full student population in the intersection of studied and passed.
Big Picture
What this problem is really about
The word and identifies an intersection measured against the full population unless a conditioning phrase is present. We’ll name both required student properties, distinguish the joint event from a within-studied rate, convert the decimal to a percent, and state the full-population interpretation.
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