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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
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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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.
| Material | Sack numbers | Number of sacks |
|---|---|---|
| Cans | 1–9 | 9 |
| Bottles | 10–16 | 7 |
| Paper | 17–20 | 4 |
- 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.
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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