Problem 46 of 7
Evaluate fairness with combinatorial sample spaces for forming a 4-person team from 7 boys and 5 girls, requiring exactly 2 boys and 2 girls.
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Hidden until you reveal it.
count favorable outcomes for each participant/group.
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Count favorable outcomes for each participant or group in committees, lotteries, and teams.
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Walkthrough
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1. Define the equally likely sample space.
2. Count favorable outcomes for each participant or group.
3. Compare probabilities and state whether the method is fair.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Assuming all people are equally likely without counting the relevant sample space.