Problem preview
S-MD.6 Core M3-054-R07-V01

Use probabilities to make fair decisions in more complex settings.

Audit chance, efficiency, and transparency separately

Problem

A visible \(12\text{-}\text{sector}\) spinner has \(\text{four}\) sectors each for A, B, and C with no rerolls. Audit fairness, acceptance per spin, expected spins, and transparency.

Big Picture

What this problem is really about

Treat chance, efficiency, and transparency as three separate audit questions. Equal participant probability answers the fairness question; acceptance probability and expected attempts measure operational efficiency; visible, verifiable rules support transparency. A strong method must be evaluated on each criterion directly, because success on one dimension does not establish the others.

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Four variants of this problem type
Curriculum context
Course
Math III
Standard
S-MD.6
Category
Statistics and Probability
Domain
Using Probability to Make Decisions
Objective
Use probabilities to make fair decisions in more complex settings.
Problem type
Audit chance, efficiency, and transparency separately