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Week 3 CAPT Problem - 9th Grade
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Spinner Math |
1. Assume that there is a spinner with the numbers 1 to 4 on it. Every time you spin one of the numbers is pointed at. Assuming that the 4 sections are equal in size, how many 1's would you expect mathematically if you spin 20 times? Explain the mathmatics you used to determine your answer.
2. If you spin the spinner approximately what percentage of the time would you get a 2? Explain how you got your answer.
3. If you spin the spinner 100 times about how many 1's , 2's or 3's would you get? Explain how you got your answer. Approximately what percentage of the time would you get a 1, 2 or a 3?
Use the information below to answer question 4.
For their annual fund-raiser the school carnival committee wants to use this spinner in a game that works like this:
1 spin
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Win with every spin |
If you spin |
Then You Win |
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| 4 | Grand Prize | |||
| 3 | 1st Prize | |||
| 2 | 2nd Prize | |||
| 1 | Consolation Prize | |||
The prizes for each outcome cost the committee the following amounts:
| Outcome | Cost of each prize |
| 4 (Grand Prize) | 40¢ |
| 3 (1st Prize) | 20¢ |
| 2 (2nd Prize) | 15¢ |
| 1 (Consolation) | 5¢ |
If customers spin the spinner 100 times (25 cents per spin) approximately how much would the committee make or lose? Explain how you got your answer.