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When you roll two dice the odds the sum will be greater than 5 are 13 out of 18, or

the probability is 13/18 = 0.72222... ≈ 72.2%.

The number of permutations of the numbers of the two dice which sum is greater

than 5 is 26:

(1,5), (1,6), (2,4), (2,5), (2,6), (3,3), (3,4), (3,5), (3,6), (4,2), (4,3), (4,4), (4,5),

(4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6).

The probability for each of the 26 events is 1/6 x 1/6 = 1/36.

So the probability that in a given roll of two dice the resulting event is any of the above 26 events is 26/36 = 13/18 = 0.72222... ≈ 72.2%.

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