Compute conditional probability as the fraction of one event's outcomes that also belong to another event.
Compute conditional probability by restricting to the given event
Problem
For the fraction of sports participants who play soccer, identify the denominator group established by the phrase “among students who play sports.”
Big Picture
What this problem is really about
The phrase among sports participants establishes the entire conditioned group before any fraction is formed. We’ll identify soccer-playing sports participants as the numerator subset, use all sports participants as the denominator, and distinguish that restricted group from the total population and the overlap alone.
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