Week 3 CAPT Problem - 9th Grade


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
25¢

Win with every spin

If you spin

Then You Win
4 Grand Prize
3 1st Prize
2 2nd Prize
1 Consolation Prize

You are responsible for selecting the prized. A novelty sales representative recommends prizes for each outcome that would cost the committee the following amounts:

Outcome Wholesale cost of each prize
4 (Grand Prize) 40¢
3 (1st Prize) 20¢
2 (2nd Prize) 15¢
1 (Consolation) 5¢

4.    Win or Lose?
If you spin the spinner 100 times approximately how much would you win or lose? Explain how you got your answer.