Explain conditional probability and independence in everyday language and situations.
Identify and interpret the parts of a conditional probability statement
Problem
Write \(P(\text{pass}|\text{studied})=0.90\) as a sentence about the group who studied, without reversing the condition or inferring causation.
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What this problem is really about
The condition after a probability bar defines the group under discussion, while the event before it names the measured outcome. We’ll begin the sentence with students who studied, attach the given percentage to passing within that group, and avoid reversing the roles. The statement reports an observed conditional rate without claiming that studying caused the outcome.
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