Slot machines are now video games, with winning determined by electronic random

Question

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 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. You win the jackpot if all three wheels show bells. What the probability of winning the jackpot? (Round your answer to four decimal places.) _____ What is the probability that the wheels stop with exactly 2 bells showing? (Round your answer to four decimal places.) _____

Explanation / Answer

a) probabilty that all three shows bell=P(first show bell*middle shows bell*third shows bell)=(1/20)*(11/20)*(1/20)

=0.0014

b_)probabilty that two of them show bell=P(ifrst and middle one show *third one not+third and middle one show *first one not+first and third one show*middle one not)

=(1/20)*(11/20)*(19/20)+(1/20)*(11/20)*(19/20)+(1/20)*(1/20)*(9/20)=0.0534

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