Question

A roulette wheel has 38 slots, numbered 0, 00, and 1 through 36. if you bet 1 on a special ed number then 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 1000 bets; (c) you are winning after 100,000 bets. assume that each roll of the roulette ball is equally likely to land on any of the 38 numbers.

Answer 1

Step-by-Step Solution:

Step 1 of 4

(a) Let X denotes the number of the first ‘n bets that you can win, then the amount

that you will be winning after ‘n’ bets is  

Now, we have to find





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Since ‘X’ is a Binomial random variable with parameters n & p where



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When 













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