Question 1125054: 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 7 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.)
0.000875
Correct: Your answer is correct.
(b) What is the probability that the wheels stop with exactly 2 bells showing? (Round your answer to four decimal places.)
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Three possibilities:
1 and 2, not 3, probability is (1/20*7/20*19/20)=133/8000
1 and 3, not 2, probability is (1/20*13/20*1/20) =13/8000
2 and 3, not 1, same as the first one, 133/8000
Overall probability is 279/8000=0.0349
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