Question

A computer controlled slot machine is making its debut at my casino. Five tokens are inserted and a button pushed. The machine makes whirring noises, lights flash, the box goes beep-beep-blippa, and the display stops flashing to reveal three colored rect- angles: one on the left side, one in the middle, and one on the right side. Each of the colored rectangles will display one of the five colors white, blue, purple, red, black independently with P[White] = P[Blue] = P[Purple] = P[Red] = 1P[Black]. The payoff table looks like this: Display shows (rectangles) Payout (tokens) 2 3 white 3 blue 3 purple 3 red 2 red/1 non-red 1 red/2 non-red anything else 500 100 50 6 4 2 no payout

Part 1a: What is the probability of each of these patterns?

Part 1b: What is the player’s expected gain per play?

Answer 1