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**rbriceno** So if I understood correctly SlipEternal, in the third line: for a maximum of 3 it means that all 20 rolls show a maximum of 3, but because it is possible to get a 1 or a 2 also, you compute that probability with 3/6 raised to 20, right? Of course to compute the requested probability we need o substract the cases where the die face is 1 or 2, so that's the reason of substracting 2/6 raised to 20. I computed all the probabilities and I got the sum of 1, so everything seems perfect!. Thanks for your help!