Lesson 7.7: Simulate Compound Events

​Lesson 7.7

Use Probability Models to Simulate Events​

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Definitions:

Model (simulation): A probability model (or simulation) is using a tool to imitate a real event.
Ex: You make half of your free throws. You can model or simulate this by using a coin and finding the probability of getting heads.

Compound Event: A compound event is two or more events happening simultaneously​.

Subject | Subject

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​Example: Margo scores a goal for her team every 2 out of 3 shots. She assigns the values 1,2,3,4 on her dice to be goals and 5 and 6 to be misses. Does this assortment of numbers make sense?

​You have a 25% chance to guess a question correctly on your test. Use the spinner to model this probability.

​You have a 50% chance of winning a game. Which compound event models this situation?

​A. Flipping two coins and getting two heads
B. Rolling two dice and getting two 1s
C. Rolling a dice and getting an even number and flipping a coin and getting heads
D. Flipping two coins and getting 1 head and 1 tail

Multiple Choice

What would be the best two manipulatives to simulate this compound event? Jerry makes half of his free throws and gets two out of 3 questions correct on his test.

• A coin for the free throws and a the likelihood a dice will land on 1 for the test.

• A dice landing on an even number for the free throws and a coin flip for the test.

• A coin flip for the free throws and a dice landing on a 2 or 3 for the test.

• A coin flip for the free throws, and a dice landing on a 1,2,3 or 4 for the test.

Multiple Choice

What would be the best simulation for the compound event? Alexys scores 1 out of 5 shots she takes and wins her game every other time.

• A spinner with 5 sides for the shots and a the likelihood she rolls a 2 on a dice for the game.

• A coin flip for the shots and a spinner with 5 sides for the game.

• A spinner with 5 sides for the shots and a coin flip for her game.

• A dice roll for the shots and a coin flip for the game.

​Conclusion: Write two complete sentences about what you learned.