In the game of roulette, a wheel consists of 38 slots, numbered 0, 00, 1, 2, . . . , 36. (See the photo in Problem 31 from Section 5.1.) To play the game, a metal ball is spun around the wheel and allowed to fall into one of the numbered slots. The slots numbered 0 and 00 are green, the odd numbers are red, and the even numbers are black.
(a) Determine the probability that the metal ball falls into a green slot. Interpret this probability.
(b) Determine the probability that the metal ball falls into a green or a red slot. Interpret this probability.
(c) Determine the probability that the metal ball falls into 00 or a red slot. Interpret this probability.
(d) Determine the probability that the metal ball falls into the number 31 and a black slot simultaneously. What term is used to describe this event?