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If a pair of standard dice are rolled, what is the probability that one die shows a 6 but not both of them?

 Mar 1, 2020
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There are two possibilities:

-- either the first die has a six and the second one doesn't:      (1/6) x (5/6)  =  5/36

-- or the first dies doen't have a six and the second one does:  (5/6) x (1/6)  =  5/36

 

To find the total probability, add these two probabilities together:  5/36 + 5/36 =  10/36

 Mar 1, 2020

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