Use probability to make fair decisions, such as lotteries or random selection.
Interpret fairness by naming the unit and checking equal probabilities
Problem
Use the student as the unit of fairness. Derive each student’s probability from \(\text{one}\) of \(n\) identical slips and determine whether the probabilities are equal.
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What this problem is really about
A fairness claim must name the unit receiving equal chances. We’ll use the student as that unit, map each student to the equally likely slips, compute one student’s probability, show how the same reasoning applies across all students, and verify both equality and total probability.
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