1. Probability theory, rolling dice

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?

2. Re: Probability theory, rolling dice

You roll all the dice at once. I take all the dice showing M at once NOT just 1 of them.

3. Re: Probability theory, rolling dice

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?

4. Re: Probability theory, rolling dice

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

5. Re: Probability theory, rolling dice

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)