Probability Models and Game Fairness Worksheet
📝 Worksheet hard ⏱️ 22 minutes 10 problems
Probability Models and Game Fairness Worksheet
Grade 7 Mathematics LearnCrux.com
Name:
Date:
Directions
- Fill in each blank carefully.
- Circle or mark the best answer for each multiple-choice question.
- Match each prompt to the best option before writing your answer.
- Use the larger space to show your thinking on word problems.
1. A fair sample gives each member a fair chance to be __.
2. Which result makes a game seem least fair?
3. Match the term to its use: simulation
Match with:
Answer:
4. If a spinner has 5 equal sections and 2 are green, the probability of green is __.
5. Why should students compare experimental results to a theoretical model before calling a game fair?
6. Which experimental result is closest to a theoretical probability of 1/4?
7. A list of every possible outcome is the sample __.
8. Match the question to the best tool: "Did the game behave fairly over many trials?"
Match with:
Answer:
9. A game pays off when a number cube shows 1 or 2. What is the probability of winning?
10. Why can short experiments look unfair even when a model is fair?
📋 Teacher Answer Key
1. chosen
2. one player wins almost every trial even though the model says both should be close
3. imitates a chance process many times
4. 2/5
5. The model shows what should happen in a fair game, and the results show whether the trials are reasonably close to that expectation
6. 25 wins in 100 trials
7. space
8. simulation results
9. 1/3
10. Small numbers of trials can vary a lot, so short experiments do not always match the expected probability closely