Use simulation to decide whether data are consistent with a proposed model.
Define one simulation trial, statistic, and success rule
Problem
Design \(\text{one}~\text{simulation}~\text{trial}\) for getting the first \(6\) within \(\text{at}~\text{most}~\text{three}\) independent fair-die rolls. State the stopping rule, recorded statistic, and success rule.
Big Picture
What this problem is really about
One simulation trial must reproduce one full repetition of the real random process, including its probabilities and independence assumptions. Fix the stopping rule, the single statistic recorded from each trial, and the condition that counts as success before running anything. These definitions ensure every trial produces one unambiguous result that matches the event being estimated.
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