Problem preview
S-MD.6 Warmup M2-072-A04-V01

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

Decide whether a lottery-style drawing is fair by comparing each participant's probability of being selected

Problem

Is this lottery-style drawing fair? \(\text{One}\) winner is drawn from identical slips, with \(\text{one}\) slip per person.

Big Picture

What this problem is really about

A one-winner drawing can still be fair when every participant has the same chance before the draw. We’ll count the identical slips, map one entry to each person, compute a named person’s favorable-over-total probability, extend that calculation to everyone, and compare the probabilities rather than the outcomes.

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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
Decide whether a lottery-style drawing is fair by comparing each participant's probability of being selected