The game of roulette uses a wheel containing 38 pockets. Thirty-six pockets are numbered 1, 2, . . . , 36, and the remaining two are marked 0 and 00. The wheel is spun, and a pocket is identified as the "winner." Assume that the observance of any one pocket is just as likely as any other.
a. Identify the simple events in a single spin of the roulette wheel.
b. Assign probabilities to the simple events.
c. Let A be the event that you observe either a 0 or a 00. List the simple events in the event A and find P(A).
d. Suppose you placed bets on the numbers 1 through 18. What is the probability that one of your numbers is the winner?