13 dice are rolled simultaneously. What is the probability that you will get a total of 45? Thanks for the help.
+129839 Here you go : https://www.wolframalpha.com/input/?i=probability+of+rolling+45+with+13+dice
416598221 / 6530347008 is the exact probability ≈ 1 out of 16
It would be the coefficient of the n^45 or the 34th term of the expansion of this generating series: [n+n^2+n^3+n^4+n^5+n^6]^13.Why? Because the process involved in calculating the coefficient in question is exactly the same as calculating the odds in this dice probability. Therefore the coefficient of n^45 is:833,196,442 / 6^13 =~0.06379 or ~6.38%.
P.S. It is exactly the same probability as in CPhill's answer. His has been reduced by a factor of 2.
