Re: Probability of 4 dice (Not poker related)
In addition to phzon's excellent answer, here are the numbers. The first column is the total of the four dice, the second is the number of ways out of 1,296 to get it. You'll notice that the number for X is the same as the number for 28 - X. You'll also notice that for X < 9, the answer for X + 1 is the answer for X times X/(X - 3).
That pattern holds up to 14, except that you have to multiply by K/(K - 3) where K = 10 for X = 9, K = 13 for X = 10, 17 6/7 for X = 11, K = 28 for X = 12 and K = 73 for X = 13.
4 1
5 4
6 10
7 20
8 35
9 56
10 80
11 104
12 125
13 140
14 146
15 140
16 125
17 104
18 80
19 56
20 35
21 20
22 10
23 4
24 1
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