Use probabilities to make fair decisions in more complex settings.
Count favorable outcomes for the correct fairness unit
Problem
In a \(30\text{-}\text{ticket}\) lottery, A owns \(8\) tickets, B owns \(10\), and C owns \(12\). Compute each person's win probability, evaluate person-level fairness, and identify the largest advantage.
Big Picture
What this problem is really about
Start the audit at the smallest equally likely unit: here, each ticket is one atomic chance to win. Group those units by owner and divide each owner's count by the common total. The fairness comparison is person to person, and the largest advantage comes from comparing the greatest participant probability with the smallest.
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