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The number m is randomly selected from the set {11, 13, 15, 17, 19}, and a number n is randomly selected from {1999, 2000, 2001,..., 2018}. What is the probability that m^n has a units digit of 1? Please help, I'm dumb

 Dec 5, 2022
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(1, 7, 5, 3, 9, 1, 1, 5, 1, 1, 1, 3, 5, 7, 9, 1, 9, 5, 9, 1, 1, 7, 5, 3, 9, 1, 1, 5, 1, 1, 1, 3, 5, 7, 9, 1, 9, 5, 9, 1, 1, 7, 5, 3, 9, 1, 1, 5, 1, 1, 1, 3, 5, 7, 9, 1, 9, 5, 9, 1, 1, 7, 5, 3, 9, 1, 1, 5, 1, 1, 1, 3, 5, 7, 9, 1, 9, 5, 9, 1, 1, 7, 5, 3, 9, 1, 1, 5, 1, 1, 1, 3, 5, 7, 9, 1, 9, 5, 9, 1)>>Total==100 - units digits of the 2 sets.

 

The probability is: 40 / 100 ==2/5

 Dec 5, 2022

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