can you help me with the wrong answer Slot machines are now video games, with wi

Question

can you help me with the wrong answer

Slot machines are now video games, with winning determined by electronic random number generators. In the old days, slot machines were like this: you pull the lever to spin three wheels; each wheel has 20 symbols, all equally likely to show when the wheel stops spinning; the three wheels are independent of each other. Suppose that the middle wheel has 11 bells among its 20 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 of winning the jackpot? (Round your answer to four decimal places.) 0.0014 (b) What is the probability that the wheels stop with exactly 2 bells showing? (Round your answer to four decimal places.) 0.0536

Explanation / Answer

(a) Probability of winning = 11 / 20 * 1 / 20 * 1 / 20

= 0.0014

(b) If the two bells show on the left and right wheels, probability

= 9/20 * 1/20 * 1/20

= 0.001125

If the two bells show on the middle and one of the left and the right wheels, probability

= 11/20 * 1/20 * 19/20

= 0.026125

=> Probability that the bells show on two of the three wheels

= 0.001125 + 2*0.026125

= 0.0534.

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