Problem preview

S-MD.6 Warmup M2-072-A04-V04

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

A teacher is choosing \(1\) student at random to hand out supplies. The teacher puts \(1\) identical slip with each student's name into a bag, but one student's name was accidentally put in twice. Is this drawing fair?

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Yes, the drawing is fair because all of the slips are identical, so every student has the same chance.

No, the drawing is not equally fair per person because one student has two slips and a higher chance of being chosen.

No, the drawing is unfair because there are more slips in the bag, so nobody can be chosen fairly.

Yes, the drawing is fair because each student has a name in the bag, so everyone is included equally.

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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