Assume that the gambler is playing roulette wheel with 18 black numbers, 18 red numbers and 2 uncolored numbers. He likes to bet on red or black numbers (probability of winning is 18/38). Assume gambler's starting capital is $10 and he wants to make $50.
(a) Determine the probability that he is a winner ?
(b) Determine the expected number of bets before he reaches either $0 or $50