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 18h revised Coproduct of projective schemes edited title 1d revised Find the correct betting combination deleted 13 characters in body 2d comment Find the correct betting combination @AlexeyBurdin is it really 3,5,7,17,22 ? I mean, if you bet t/3 on the first, you will only have 2t/3 left if it wins. With a total bet of t, it's a loss. Or you mean you also recover your bet, but I thought it was the meaning of the first "Rs.1" in what you get. 2d comment Find the correct betting combination I guess $Rs$ means rupees (you may remove the money symbol, as it's useless, and is unclear in many countries). Is the gain proportional to the bet? I mean, if I bet $n$ rupees on team $5$ and I win, will I win $21n$ rupees? 2d answered Derive probability mass function from probability-generating function May27 revised What is the probability that 5 randomly chosen cards in a deck add up to 40 or greater? for completeness May27 comment What is the probability that 5 randomly chosen cards in a deck add up to 40 or greater? Thanks! I'm glad we finally get the same answer. :) May27 reviewed Reject What is the probability that 5 randomly chosen cards in a deck add up to 40 or greater? May27 revised What is the probability that 5 randomly chosen cards in a deck add up to 40 or greater? added 248 characters in body May27 comment What is the probability that 5 randomly chosen cards in a deck add up to 40 or greater? I don't find the same answer, but I have a doubt :) Do you take the number of possibilities of combinations into account? I mean for the (1,1,1,2) case for instance, there are $5 \choose 2$ ways to place the pair. You don't seem to take the order into account at all (hence the 2598960), but I'm not sure it's correct, since the different "patterns" ((1,1,1,1,1), (1,1,1,2)...) don't have the same number of possibilities. May27 revised What is the probability that 5 randomly chosen cards in a deck add up to 40 or greater? rolled back to a previous revision May27 revised What is the probability that 5 randomly chosen cards in a deck add up to 40 or greater? deleted 1564 characters in body May27 revised What is the probability that 5 randomly chosen cards in a deck add up to 40 or greater? added 1063 characters in body May27 comment If $\det A=1$ and the matrices $A^{2015}$ and $A^{2017}$ are integer, is $A$ an integer matrix? Even simpler: $A^2$ is an integer matrix, so $A^{2016}=(A^2)^{1013}$ is also an integer matrix. No need for recursion, though it also works of course. Now check determinant, and apply the same trick as above to get $A^2$, and you'll find $A$. May27 revised What is the probability that 5 randomly chosen cards in a deck add up to 40 or greater? deleted 1408 characters in body May27 revised What is the probability that 5 randomly chosen cards in a deck add up to 40 or greater? added 7 characters in body May27 revised What is the probability that 5 randomly chosen cards in a deck add up to 40 or greater? added 32 characters in body May27 revised What is the probability that 5 randomly chosen cards in a deck add up to 40 or greater? edited title May27 revised What is the probability that 5 randomly chosen cards in a deck add up to 40 or greater? added 24 characters in body May27 revised What is the probability that 5 randomly chosen cards in a deck add up to 40 or greater? edited tags