Answer These Questions

Question

LINK TO WHEEL https://www.mdlp.org/members/courses/resources/practicals/ma2010/images/402u4p1_1.gif

1. Analyze the wheel. Why do you think it was designed the way it was? Use complete sentences

2. If a person spins the wheel once, what is the probability that the results will end favorably (they do not land on 0)? Show your work and explain your process.

3. What is the probability that a player will land on "small prize" or "medium prize" with one spin? Show your work and explain your process.

4. What is the probability that a player will win money with one spin? Show your work and explain your process.

5. Joey decides to spin the wheel 60 times. What is the expected outcome of spins? (How many times should it land on each space?)

6. Use your information from question 5 to determine whether or not this wheel is profitable for the person who owns the booth. Explain your reasoning in full sentences.

7. What could the booth owner do to make the wheel more profitable for himself? You may include a drawing of the more profitable wheel if you would like. Explain your reasoning in complete sentences.

Answer 1

1. each prize is given different size of pie, in general, the larger the prize the small the size, so player has less chance to win. by looking at the wheel, the probabilities to land on each prize are about:

no prize: 50%, small 1/8, medium 1/8, large 1/12, re-spin: 1/12, 5: 1/30, 10: 1/30, jackpot: 1/60

2. 1- 1/2 = 1/2, 50% chance not at "no prize"

3. small 1/8, medium 1/8 (1/4 * 1/2)

4. 1 - 1/2 - 1/12 = 5/12 (exclude no prize and re-spin)

5. 60 times the probability for each prize from #1

6. yes, winning probability is less than losing.

7. make the winning size smaller.