Week 3 CMT Problem - 8th 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. Assume that each number has an equal chance of coming out. If you spin the spinner 4 times how many 2's do you think you should get?

2. If you spin the spinner 20 times about how many times would you get a 3? Explain how you got the answer.

3. If you spin the spinner 100 times about how many 1's or 2's would you get? Explain how you got your answer. Approximately what percentage of the time would you get a 1 or a 2?

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?
Suppose you spun 20 times and got 3 4's, 6 3's, 7 2's and 4 1's.
How much did you win?
How much did you have to spend to play 20 times?
Did you win or lose money?
How much?