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 the lever to spin three wheels; each wheel has 25 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 12 bells among its 25 symbols, and the left and right wheels have 1 bell each.

What is the probability that the wheels stop with exactly 2 bells showing? (Round your answer to four decimal places.)

Explanation / Answer

probabilty that bell is shown on first left one wheel =1/25

probabilty that bell is shown on second middle one wheel =12/25

probabilty that bell is shown on third right one wheel =1/25

probability that the wheels stop with exactly 2 bells showing =P(first and second shows and third not+frist and third show and 2nd not+2nd and 3rd shows and 1st not)

=(1/25)*(12/25)*(24/25)+(1/25)*(13/25)*(1/25)+(24/25)*(12/25)*(1/25)=0.0377

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