A carnival game consists of spinning a wheel with 10 slots, nine red and one blue. If you land on the blue slot, you win a prize. Suppose your significant other really wants that prize, so you will play until you win.
a. What is the probability you’ll win on the first spin?
b. What is the probability you’ll require exactly 5 spins? At least 5 spins? At most five spins?
c. What is the expected number of spins required for you to win the prize, and what is the corresponding standard deviation?