1. The problem statement, all variables and given/known data Here are the problems: A roulette wheel has 38 slots, numbered 0, 00, and 1 through 36. If you bet 1 on a speciﬁed number, you either win 35 if the roulette ball lands on that number or lose 1 if it does not. If you continually make such bets, approximate the probability that a. you are winning after 34 bets; b. you are winning after 1,000 bets; c. you are winning after 100,000 bets. 2. Relevant equations (X - np) / sqrt(np(1-p)) 3. The attempt at a solution So I've tried to implement the central limit theorem with binomial properties. n = 1000, p = 1/38, X = 500 based on an example from the lecture slides here and here However, when I plug everything in, everything is way too high as shown: (500 - 1000/38) / √(1000/38 * 37 / 38) = 93.57775 Since they are so high, I cannot use this normal distribution table I was provided. I have no idea how to do these types of problems. If anyone can please kindly explain to me the process, it would be very helpful and I will be very grateful. You don't even have to tell me the answer, or you can only do one of the questions as an example. I just want to know how it's done please.