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With six dice, each having six sides numbered 1 through 6 . What is the probability of each number from 6 through 36 when rolling all six dice at the same time together

 Feb 28, 2020
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Do you mean the sum total of all 6 dice, ranging from sum of 6 to sum of 36. If so, you have the following probabilities:

 

6 - 1 / 46656,
7 - 1 / 7776, 
8 - 7 / 15552, 
9 - 7 / 5832, 
10 - 7 / 2592, 
11 - 7 / 1296, 
12 - 19 / 1944, 
13 - 7 / 432, 
14 - 43 / 1728, 
15 - 833 / 23328, 
16 - 749 / 15552, 
17 - 119 / 1944, 
18 - 3431 / 46656, 
19 - 217 / 2592, 
20 - 469 / 5184, 
21 - 361 / 3888, 
22 - 469 / 5184, 
23 - 217 / 2592, 
24 - 3431 / 46656, 
25 - 119 / 1944, 
26 - 749 / 15552, 
27 - 833 / 23328, 
28 - 43 / 1728, 
29 - 7 / 432, 
30 - 19 / 1944, 
31 - 7 / 1296, 
32 - 7 / 2592, 
33 - 7 / 5832, 
34 - 7 / 15552, 
35 - 1 / 7776, 
36 - 1 / 46656

 Feb 29, 2020

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