Lesson 8
Keeping Track of All Possible Outcomes
Problem 1
Noah is planning his birthday party. Here is a tree showing all of the possible themes, locations, and days of the week that Noah is considering.
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How many themes is Noah considering?
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How many locations is Noah considering?
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How many days of the week is Noah considering?
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One possibility that Noah is considering is a party with a space theme at the skating rink on Sunday. Write two other possible parties Noah is considering.
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How many different possible outcomes are in the sample space?
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Solution
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Problem 2
For each event, write the sample space and tell how many outcomes there are.
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Lin selects one type of lettuce and one dressing to make a salad.
Lettuce types: iceberg, romaine
Dressings: ranch, Italian, French -
Diego chooses rock, paper, or scissors, and Jada chooses rock, paper, or scissors.
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Spin these 3 spinners.
Solution
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Problem 3
A simulation is done to represent kicking 5 field goals in a single game with a 72% probability of making each one. A 1 represents making the kick and a 0 represents missing the kick.
trial | result |
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1 | 10101 |
2 | 11010 |
3 | 00011 |
4 | 11111 |
5 | 10011 |
Based on these results, estimate the probability that 3 or more kicks are made.
Solution
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(From Unit 8, Lesson 7.)Problem 4
There is a bag of 50 marbles.
- Andre takes out a marble, records its color, and puts it back in. In 4 trials, he gets a green marble 1 time.
- Jada takes out a marble, records its color, and puts it back in. In 12 trials, she gets a green marble 5 times.
- Noah takes out a marble, records its color, and puts it back in. In 9 trials, he gets a green marble 3 times.
Estimate the probability of getting a green marble from this bag. Explain your reasoning.
Solution
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(From Unit 8, Lesson 4.)