Problem preview
S-MD.6 Warmup M2-072-A01-V01

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

Compute participant probabilities and classify a selection method's fairness

Problem

Compute each student’s probability under the one-slip-per-student draw and compare all \(20\) probabilities to the equal-chance fairness criterion.

Big Picture

What this problem is really about

Randomness alone does not establish fairness; the participant probabilities must be compared. We’ll map slips to students, find the probability of each equally likely slip, transfer that probability through the one-to-one assignment, and test whether every participant receives the same share of the total probability.

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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
Compute participant probabilities and classify a selection method's fairness