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Three distinct numbers are chosen at random from the set {0, 1, 2, ..., 10}.  What is the probability that the middle element is 5?

 May 11, 2020
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For the first number, I can choose any number except 5:  9/10

For the second number, I must choose 5:  1/9

For the third number, I can choose any of the eight remaining numbers:  8/8

9/10 x 1/9 x 8/8  =  1/10

 May 11, 2020

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