Week 3 CAPT Problem - 10th Grade


Spinner Math

1.   Assume that there is a spinner with the numbers 1 to 10 on it. Every time you spin one of the numbers is pointed at. Assuming that the 10 sections are equal in size, how many 1's would you expect mathematically if you spin 50 times? Explain the mathmatics you used to determine your answer.

2. If you spin the spinner 500 times approximately what percentage of the time would you get a number <= 3? Explain how you got your answer.

3. If you spin the spinner 85 times about how many 2, 4 or 8's would you get? Round to the nearest whole number. Explain how you got your answer.

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 1,2,3 or 4

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) 80¢
3 (1st Prize) 60¢
2 (2nd Prize) 50¢
1 (Consolation) 25¢

Any number that is not between 1 and 4 wins no prize.

4.    The Annual Fund-Raiser
         About 1,000 people are expected to play this game and all unused prizes can be returned for a refund. Explain how much money will probably be made or lost for the carnival by this game if the sales representative's suggestion is followed.