Use probabilities to make fair decisions in more complex settings.
Judge simulated fairness with an explicit tolerance
Problem
Prize counts are \(4,018\), \(3,992\), and \(3,990\) in \(12,000\) trials. Under an informal tolerance of \(0.02\) from equal probabilities, compute the proportions and maximum deviation from \(1/3\), then state the limited fairness conclusion.
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