Chapter 1.1, 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 $A=\left\{0,00\right\}$.

Give the value of P(A).

(c) Let $B=\left\{14,15,17,18\right\}$.

Give the value of P(B).

(d) Let D = {x: x is odd). Give the value of P(D).