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Summer Jobs: Random Draws and Real Results

Build uniform probability models for summer-job assignments, calculate probabilities, and compare predictions with observed results.

Grade 7MathInteractive · Printable

Aligned to7.SP.C.7.a

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What’s included

Single worksheet
Auto-graded online
1 Common Core standard
Printable answer key
14 questions
Classroom-ready

Details

Format: Interactive · Printable
Grade: Grade 7
Subject: Math
Question types: Fill in the blank, Multiple choice, Circle the answer, Short answer

About this worksheet

What students practice

Students build uniform probability models by assigning equal probabilities to individual outcomes.
Students calculate event probabilities for random summer-job assignments.
Students compare model probabilities with observed frequencies and explain chance variation.

How to use

Have students complete the model before examining the trial results. Discuss why equally likely cards need not produce equally likely job types or exact predicted counts.

Curriculum

Common Core standard covered

7.SP.C.7.a

Build a uniform probability model, where every outcome is equally likely, use it to find probabilities, and compare probabilities from a model to observed frequencies and explain differences.

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Name Date

Summer Jobs: Random Draws and Real Results

Build probability models for mowing and babysitting practice assignments.

Build an Assignment Model

Amira and Luis practice skills for summer jobs. They draw one card from the set below, record it, and replace it before mixing again. All eight cards are identical in size and feel, and each card is equally likely to be drawn. Use fractions for probability blanks.

Practice Assignment Cards
Card label	Practice job
M1	Mowing
M2	Mowing
M3	Mowing
M4	Mowing
M5	Mowing
B1	Babysitting
B2	Babysitting
B3	Babysitting

Build a uniform model using the eight individual card labels as outcomes.

What probability should be assigned to each individual card?

Which statement correctly describes the model?

A. Each job type has probability 1/2 because there are two types.
B. Each babysitting card has probability 1/3 because there are three babysitting cards.
C. Each mowing card has probability 1/5 because there are five mowing cards.
D. Each card has probability 1/8 because all eight cards are equally likely.