Question 341115: Hi I have this problem, I tried to solve for many different ways but I couldn't find the correct solution my teacher said. Please I need help. Thanks.
There are 20 people in my house, what is the probability that two or more will have the same last 5 digits in their Driver License (in the same order)? Assume that all digits 0 to 9 are equally likely, and give your answer to within ± 0.000001.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! There are 20 people in my house, what is the probability that two or more will have the same last 5 digits in their Driver License (in the same order)? Assume that all digits 0 to 9 are equally likely, and give your answer to within ± 0.000001.
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# of 5 digit numbers: 10^5
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P(one license is the same as another) = 1/10^5
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Binomial Problem with p = 1/10^5 with n = 20
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P(2<=x<=20) = 1 - binomcdf(20,1/10^5,1)
= 0.000000018998...
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Cheers,
Stan H.
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