Are you looking to calculate a specific or the combined probability of a range of rolls? Rolling dice: answers. - Paul Fleisher
When you roll two dice, each die has 6 faces, leading to a total of
: Probability of rolling a (four ways: 1+4, 2+3, 3+2, 4+1). 5365 over 36 end-fraction (2/36)(3/36)(4/36)(5/36)(6/36)(7/36)(8/36)(9/36...
The numbers in your sequence correspond to the number of ways to achieve each sum, divided by the total 36 outcomes: 1361 over 36 end-fraction : Probability of rolling a (only one way: 1+1). 2362 over 36 end-fraction : Probability of rolling a 3 (two ways: 1+2, 2+1). 3363 over 36 end-fraction : Probability of rolling a 4 (three ways: 1+3, 2+2, 3+1). 4364 over 36 end-fraction
This sequence describes the for the sum of two independent six-sided dice. Are you looking to calculate a specific or
∏n=29P(Sum=n)≈1.286×10-7product from n equals 2 to 9 of cap P open paren Sum equals n close paren is approximately equal to 1.286 cross 10 to the negative 7 power ✅ Summary
If your "..." implies multiplying these terms together (from 2362 over 36 end-fraction 9369 over 36 end-fraction as written), the product is extremely small: 5365 over 36 end-fraction The numbers in your
After reaching the peak at 7, the probabilities decrease as the possible combinations for higher sums become more limited: Ways to Roll Probability 3 (1,2), (2,1) 4 (1,3), (2,2), (3,1) 5 (1,4), (2,3), (3,2), (4,1) 6 (1,5), (2,4), (3,3), (4,2), (5,1) 7 (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) 8 (2,6), (3,5), (4,4), (5,3), (6,2) 9 (3,6), (4,5), (5,4), (6,3) 10 (4,6), (5,5), (6,4) 11 (5,6), (6,5) 12 4. Calculation of the sequence product