PROBLEM 4. There is a carnival game called \"Spin the Wheels\" where there are two fair wheels. You choose a wheel to spin, and then where the needle lands determines the prize you get. Wheel A has a slice that is '11 of the circumference with $10 written on it. Wheel B has a slice that covers % of the circumference with $2 on it, and a small slice that is 510 of the circumference with $100 on it. For both wheels, you win $0 for any spin landing outside these slices. (a) Find the probability that you spin Wheel B five times and win a total of exactly $8. (b) Suppose you spin both wheels once. Find the probability that you will make at least $12. (c) How much money do you expect to get from Wheels A and B on one spin on average? Which is better to spin? (d) Suppose you doubled Wheel A in size, keeping all slices the same fraction of the circumference. How would the probability of winning $10 change