Question: Roulette wheels in Nevada have 38 pockets. They are numbered 0, 00, and 1 through 36. On each spin of the wheel, a ball lands

Roulette wheels in Nevada have 38 pockets. They are numbered 0, 00, and 1 through 36.

On each spin of the wheel, a ball lands in a pocket, and each pocket is equally likely.

a. If you spin a roulette wheel 38 times, is it certain that each number will come up once?

b. If you spin a roulette wheel 3800 times, is it certain that each number will come up 100 times?

c. As the wheel is spun more and more times, will the proportion of times that each number comes up approach 1∕38?

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