A roulette wheel has 38 slots, numbered 0, 00, and 1 to 36. Two slots are green, 18 of the others are red, and 18 are black.

a) What is the probability of winning with a bet on red in a single play of roulette?

b) You decide to play roulette 4 times, each time betting on red. What is the distribution of of X, the number of times you win?

c) If you bet on the same amount on each play, you will “break even.” What is the probability that you will break even?

d) If you win on fewer than 2 of the 4 plays, you will lose money. What is the probability that you will lose money?

I think (a) is just 18/38, for a probability of .4737 I'm not even sure how to do b,c, or d.

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