Problem preview
S-MD.6 Warmup M2-072-A05-V01

Use probability to make fair decisions, such as lotteries or random selection.

Screen simulation results for consistency with fairness using a stated rule

Problem

Compute the maximum absolute deviation from \(25\%\) across the four observed rates, then apply the stated \(400\text{-}\text{trial}\) screening threshold without claiming proof.

Big Picture

What this problem is really about

Simulation results should be judged by the stated screen, not by demanding exact equality. We’ll establish the fair benchmark, compute every absolute percentage-point deviation, retain the largest deviation, check both the trial-count and tolerance conditions, and distinguish consistency evidence from proof.

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
S-MD.6
Category
Statistics and Probability
Domain
Using Probability to Make Decisions
Objective
Use probability to make fair decisions, such as lotteries or random selection.
Problem type
Screen simulation results for consistency with fairness using a stated rule