A roulette wheel has 38 slots: 18 red, 18 black, and 2 green. Aball is tossed into the wheel and eventually settles in a slot atrandom. You play many games, betting $1 on red each time. If theball lands in a red slot you win $1, otherwise you lose the dollaryou bet. After n games, what is the probability that you have moremoney than you started with? Give (approximate) numerical answersfor n = 100 and n = 1000. How would the answer change if there wereno green slots?
