# Question: Part b of Example 7 used the central limit theorem

Part b of Example 7 used the central limit theorem to approximate the probability of coming out ahead if you bet $10 on red on each of 40 different roulette wheel spins. For each spin, the winnings are $10 with probability 18/38 and - +10 with probability 20/38. You are interested in the probability of winning at least $100 over the course of the 40 spins.

a. The average winnings per spin need to be at least how much in order to win at least $100?

b. Use the Central Limit Theorem to determine the approximate probability of winning at least $100?

c. You must win at least how many of the spins in order to win at least $100?

d. Using the binomial distribution, calculate the exact probability of winning at least $100 in the 40 spins. How does your answer compare with that of part b?

a. The average winnings per spin need to be at least how much in order to win at least $100?

b. Use the Central Limit Theorem to determine the approximate probability of winning at least $100?

c. You must win at least how many of the spins in order to win at least $100?

d. Using the binomial distribution, calculate the exact probability of winning at least $100 in the 40 spins. How does your answer compare with that of part b?

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