Use probabilities to make fair decisions in more complex settings.
Map equiprobable outcomes to equal participant chances
Problem
Design a fair allocation of \(12\) equal spinner sectors among A, B, and C with no unused outcomes. State each allocation and probability.
Big Picture
What this problem is really about
Design fairness by distributing probability mass, not just by writing participant names. With equal sectors, equal probability mass comes from equal sector counts, so first test whether the total divides evenly among the participants. Then verify that every sector is accounted for and that each participant's share matches the same target probability.
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