Question 574031: Each month, a random digit is picked for the month. This person has an incentive of choosing random numbers but continues to pick the same number routinely. What is the probability that the same number will be picked 5 of of 12 months. The number is not necessarily consecutive but it just occurs that the same number if picked on a recurrent basis.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Each month, a random digit is picked for the month. This person has an incentive of choosing random numbers but continues to pick the same number routinely. What is the probability that the same number will be picked 5 of
12 months. The number is not necessarily consecutive but it just occurs that the same number if picked on a recurrent basis.
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Binomial Problem with n = 12 and P(pick same digit) = 1/10
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P(x = 5) = 12C5(1/10)^5*(9/10)^7 = binompdf(12,1/10,5) = 0.0038
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Cheers,
Stan H.
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