At a casino, the only game is numberless roulette. On a spin of the wheel, the ball lands in a space with color red (r), green (g), or black (b). The wheel has 19 red spaces, 19 green spaces and 2 black spaces.
(a) In 40 spins of the wheel, find the probability of the event
A = {19 reds, 19 greens, and 2 blacks}.
(b) In 40 spins of the wheel, find the probability of G19 = {19 greens}.
(c) The only bets allowed are red and green. Given that you randomly choose to bet red or green, what is the probability p that your bet is a winner?