Use probabilities to make fair decisions in more complex settings.
Judge simulated fairness with an explicit tolerance
Problem
In \(10,000\) trials, \(A\) occurs \(4,980\) times and \(B\) occurs \(5,020\) times. Under an informal tolerance of \(0.02\) from equal probabilities, compute the observed proportions and deviations, then state the limited fairness conclusion.
Big Picture
What this problem is really about
A simulation should be judged on the same scale as its fairness rule, so convert every count to a proportion first. Compare each observed proportion with its equal-chance target using absolute deviation, then check the largest deviation against the stated tolerance. Passing that check supports a limited consistency claim; it does not prove the random mechanism is fair.
Inside Gozunta
Turn the preview into practice.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
