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The sample space has 36 elements (the total number of outcomes by rolling the two dice).

There are 6 double outcomes: (1,1), (2,2), (3,3), (4,4), (5,5) and (6,6).

There are 5 outcomes whose sum is 6: (1,5), (5,1), (2,4), (4, 2), and (3,3).

The probability of rolling doubles OR the sum of 6 is 6/36 + 5/36 = 11/36.

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Q: When two fair sided dice are rolled what is the probability of rolling doubles or the sum of the two dice equal 6?
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