Understand conditional probability and connect independence to unchanged conditional probabilities.
Interpret conditional probability notation in words
Problem
Translate \(P(A|B)\) into words, naming \(A\) as the event measured and \(B\) as the condition already assumed.
Big Picture
What this problem is really about
Conditional notation is directional: the event before the bar is measured inside the condition after the bar. We’ll read the bar as given, identify the restricted sample space, translate the ordered roles into words, and contrast the reversed conditional with the original meaning.
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