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16 February, 18:17

A slot machine consists of 3 reels, and each real consists of 32 stops. To win the jackpot of $10,000, a player must get a wild symbol on the center line of each reel. If each of the first two reels has two wild symbols and the third reel has three wild symbols, find the probability of winning the jackpot.

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  1. 16 February, 19:50
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    The probability of winning the jackpot is 7/32 or 0.21875.

    In solving this, we must consider the number of wild symbols in each reel with 32 stops.

    First and second reel, the probability of hitting the jackpot is 2/32 since there are 2 wild symbols and the reel has 32 stops.

    Third reel, the probability of hitting the jackpot is 3/32 since it has 3 wild symbols and 32 stops.

    To find the overall probability, just add the three probabilities:

    (2/32) + (2/32) + (3/32) = 7/32
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