In its simplest form, betting $1 on thhe color in the game of roulette offers a 18/38 probability of winning $1 and a 20/38 probability of losing $1.
(a) Employ the CLT to approximate the probability that your net winnings will be negative if you play 50 times.
(b) Employ the CLT to approximate the probability that your net winnings will be negative if you play 500 times.
(c) How does such probabilities compare? Discuss why this makes sense.