PROBLEM 11E

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 remaining 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).

Step 1 of 5:

Given that the total number of slots,n =38.

The total number of green slots=2.

Half of the integers between 1 to 36 are even and the rest half are odd.

Also it is given that each slot has an equal probability of .