A typical roulette wheel used in a casino has 38 slots that are numbered 1, 2, 3, ... , 36, 0, 00, respectively The 0 and 00 slots are colored green. Half of the remain ing slots are red and half are black. Also, half of the integers between 1 and 36 inclusive are odd, half are even, and 0 and 00 are defined to be neither odd nor even. A ball is rolled around the wheel and ends up in one of the slots; we assume that each slot has equal probability of 1/38, and we are interested in the number of the slot into which the ball falls. a. Define the sample space S.
b. Let A = {0, 00}. Give the value of P(A).
c. Let B = {14, 15, 17, 18}. Give the value of P(B).
d. Let D = {x : x is odd}. Give the value of P(D).