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What is the probability that a list of five different, single-digit numbers, whose sum is \(18\), will contain exactly two prime numbers? Express your answer as a common fraction.

 Mar 9, 2022
 #1
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I think that there are only two possible lists:

        1, 2, 3, 4, 8     and     1, 2, 4, 5, 6

 

Both of these lists have exactly two prime numbers; so the probability is 2/2.

 Mar 9, 2022

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