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
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