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Re: The faces of each of 7 standard dice are labeled with the integers fro

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Probability of getting 7 is equal to 42
Probability of getting 8 is equal to 41
Probability of getting 9 is equal to 40
Probability of getting 10 is equal to 39 and the pattern goes on
It works because there is only way to get 7 is (1,1,1,1,1,1,1,1). To get 10 we have to add 3, we can do that in 3 ways. Either add 3 directly to one turn or split it into 1+2 or split it into 1+1+1.
Same way, there is only one way to get 42(6,6,6,6,6,6,6,6). To get 39, we have to subtract 3, we can do that in 3 ways
Either subtract 3 directly from one turn or split it into (-1-2) or split it into -1-1-1.
Hence number of cases of getting 10 is equal to 39.

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