You are rolling N, m sided fair dice. Each time die got on face M I take it and next time you roll rest of dice. What is the probability that I will get all dice after n'th roll?
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You roll all the dice at once. I take all the dice showing M at once NOT just 1 of them.
Originally Posted by Rafael You roll all the dice at once. I take all the dice showing M at once NOT just 1 of them. Right. This is a tremendously involved problem.
Were you assigned this as a class assignment?
This was proposed me by a friend.
Is there a short way to solve it? I tried to solve case for one 6 sided die and two 6 sided dice. In the second case I used conditional probablily for exploring different cases
My friend solved it for two 6 sided dice. Here is the probability dependance on number of roll (n)
2/5*(5/6)^n - 11/25*(5/6)^(2*n)