If you bet on red in roulette, you win with probability 18/38 = 9/19 and lose with probability 20/38 = 10/19. (See page 7.) (There are 38 pockets on a roulette wheel, and 18 of them are red.) If you bet $1 on red, then you win a dollar if you win and lose a dollar if you lose. Suppose you make 100 bets of $1 each on red. Spins of the roulette wheel are independent.
(a) What is the approximate probability that you end up with more money than you started with?
(b) What is the approximate probability that you end up "even", with the same amount of money that you started with?
(c) What is the approximate probability that the 51st bet is your 28th win?
