1. The problem statement, all variables and given/known data What is the probability of rolling a yahtzee, where 1 turn consists of 3 rolls, where the player may pull aside the dice that help with getting the 5 of a kind, and the other dice may be rolled again until a total of 3 rolls have been made. 2. Relevant equations probability = #of outcome in subset a divided by total outcomes in S. 3. The attempt at a solution I do know that if I were to re-roll all of the dice until the outcome we need, we can get 6 divided by 6^5. I don't know how to calculate it where it's depending on what you get in the first roll. I think a matrix is needed though; any suggestions?