Use probability to make fair decisions, such as lotteries or random selection.
Compare selection methods by fairness and expected attempts
Problem
For each die method, calculate student probabilities to test fairness and use reciprocal acceptance probability for expected attempts. Compare efficiency separately from fairness.
Big Picture
What this problem is really about
Fairness and efficiency are separate comparisons. For each die method, we’ll trace the eventual probability assigned to every student, account for any reroll through conditional acceptance, test equality of participant chances, find expected attempts from the acceptance rate, and compare speed only after fairness is settled.
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