Playing the slots. Slot machines are now video games, with outcomesdetermined by random

Chapter 0, Problem 12.2

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Playing the slots. Slot machines are now video games, with outcomesdetermined by random number generators. In the old days, slot machines werelike this: you pull the lever to spin three wheels; each wheel has 20 symbols, allequally likely to show when the wheel stops spinning; the three wheels areindependent of each other. Suppose that the middle wheel has 9 bells among its20 symbols, and the left and right wheels have 1 bell each.(a) You win the jackpot if all three wheels show bells. What is the probability ofwinning the jackpot?(b) There are three ways that the three wheels can show two bells and onesymbol other than a bell. Find the probability of each of these ways. (c) What is the probability that the wheels stop with exactly two bells showingamong them?

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