The game of Yahtzee is played with five six-sided dice. A "Yahtzee" is when all five dice show the same face. You begin by rolling all five dice. You are allowed two subsequent rolls in which you can roll any subset of the five dice. Assuming that your only goal is to get a Yahtzee and that you play optimally, what is the probability of succeeding?
The required probability is approximately equal to 0.0460286425257, which translates to an approximate chance of 1 in 21.726.
Edited on July 18, 2022, 12:38 am
Puzzle Answer
