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| 1 | - | from itertools import product, groupby |
| 1 | + | Points 6 prob = 1 / 46656 |
| 2 | - | |
| 2 | + | Points 7 prob = 6 / 46656 |
| 3 | - | def dice_probability(n): |
| 3 | + | Points 8 prob = 21 / 46656 |
| 4 | - | if n <= 0: |
| 4 | + | Points 9 prob = 56 / 46656 |
| 5 | - | print(n, "n must be a positive integer.") |
| 5 | + | Points 10 prob = 126 / 46656 |
| 6 | - | return [] |
| 6 | + | Points 11 prob = 252 / 46656 |
| 7 | - | points = [ sum(p) for p in product(range(1,7), repeat = n) ] |
| 7 | + | Points 12 prob = 456 / 46656 |
| 8 | - | prob = [ ( k, len(list(g)) ) for k, g in groupby(sorted(points)) ] |
| 8 | + | Points 13 prob = 756 / 46656 |
| 9 | - | return prob |
| 9 | + | Points 14 prob = 1161 / 46656 |
| 10 | - | |
| 10 | + | Points 15 prob = 1666 / 46656 |
| 11 | - | N = 6 |
| 11 | + | Points 16 prob = 2247 / 46656 |
| 12 | - | dice_p = dice_probability(N) |
| 12 | + | Points 17 prob = 2856 / 46656 |
| 13 | - | total = 6**N |
| 13 | + | Points 18 prob = 3431 / 46656 |
| 14 | - | for t in dice_p: |
| 14 | + | Points 19 prob = 3906 / 46656 |
| 15 | - | print("Points %2d prob = %5d / %5d" % (t[0], t[1], total)) |
| 15 | + | Points 20 prob = 4221 / 46656 |
| 16 | Points 21 prob = 4332 / 46656 | |
| 17 | Points 22 prob = 4221 / 46656 | |
| 18 | Points 23 prob = 3906 / 46656 | |
| 19 | Points 24 prob = 3431 / 46656 | |
| 20 | Points 25 prob = 2856 / 46656 | |
| 21 | Points 26 prob = 2247 / 46656 | |
| 22 | Points 27 prob = 1666 / 46656 | |
| 23 | Points 28 prob = 1161 / 46656 | |
| 24 | Points 29 prob = 756 / 46656 | |
| 25 | Points 30 prob = 456 / 46656 | |
| 26 | Points 31 prob = 252 / 46656 | |
| 27 | Points 32 prob = 126 / 46656 | |
| 28 | Points 33 prob = 56 / 46656 | |
| 29 | Points 34 prob = 21 / 46656 | |
| 30 | Points 35 prob = 6 / 46656 | |
| 31 | Points 36 prob = 1 / 46656 |
