Question 776276: A slot machine consists of five independently operating reels on which one of five different symbols can appear. The symbols are A, B, C, D and E. Each reel has one of each of the symbols. Players are paid out according to the arrangement of the 5 symbols on one horizontal line. Players win a jackpot when the arrangement has five C’s. Assuming that the player, plays 5 times, what is the probability that they’ll hit the jackpot at least once?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A slot machine consists of five independently operating reels on which one of five different symbols can appear. The symbols are A, B, C, D and E. Each reel has one of each of the symbols. Players are paid out according to the arrangement of the 5 symbols on one horizontal line. Players win a jackpot when the arrangement has five C’s. Assuming that the player, plays 5 times, what is the probability that they’ll hit the jackpot at least once?
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P(C shows on one wheel) = 1/5
P(C shows on 5 wheels) = (1/5)^5 = 0.00032
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Binomial Problem with n = 5 and P(5 C's) = 0.0032
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P(1<= x <=5) = 1 - P(x = 0) = 1 - (0.9958)^5 = 0.0159
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Cheers,
Stan H.
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