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Recycling Drive: Audit the Random Picks worksheet preview

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Recycling Drive: Audit the Random Picks

Build uniform probability models for a recycling drive, predict selections, and evaluate differences between model probabilities and trial 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, Sorting, Short answer

About this worksheet

What students practice

  • Students build uniform probability models and calculate probabilities for groups of equally likely outcomes.
  • Students compare predicted probabilities with observed relative frequencies and explain differences.

How to use

Use after introducing equally likely outcomes. Have students keep the original sack inventory visible, then distinguish chance variation from recording errors.

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.

Preview

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Name Date

Recycling Drive: Audit the Random Picks

Build uniform models and compare predictions with trial records.

Model the Inspection Picks

The drive collects cans, bottles, and paper in 20 numbered sacks. A random-number selector chooses each number from 1 through 20 with equal probability. Use the inventory below for questions 1–9.

Recycling Drive Inventory
MaterialSack numbersNumber of sacks
Cans1–99
Bottles10–167
Paper17–204
1.
Which probability model correctly groups the 20 equally likely sack numbers by material?
  • A. Cans: 4/20; bottles: 7/20; paper: 9/20.
  • B. Cans: 9/20; bottles: 7/20; paper: 4/20.
  • C. Cans: 1/3; bottles: 1/3; paper: 1/3.
  • D. Cans: 9/16; bottles: 7/16; paper: 4/16.
2.
An inspector has already practiced checking cans. She wants the next selected sack to contain either bottles or paper.

What is the probability that the selection meets her goal?  

The preview shows the first questions. Unlock the worksheet to see all of it.

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