Yahtzee Yahtzee


Calculate the probability of Yahtzee:
Yahtzee

Probability of 5 of a kind for (1-6) = Probability[All(1) + All(2) + All(3) + All(4) + All(5) + All(6)]

Probability of All Die = 1 = (1,1,1,1,1)
Probability of All Die = 1 = 1/6 * 1/6 * 1/6 * 1/6 * 1/6
Probability of All Die = 1 =1
7,776

Probability of All Die = 2 = (2,2,2,2,2)
Probability of All Die = 2 = 1/6 * 1/6 * 1/6 * 1/6 * 1/6
Probability of All Die = 2 =1
7,776

Probability of All Die = 3 = (3,3,3,3,3)
Probability of All Die = 3 = 1/6 * 1/6 * 1/6 * 1/6 * 1/6
Probability of All Die = 3 =1
7,776

Probability of All Die = 4 = (4,4,4,4,4)
Probability of All Die = 4 = 1/6 * 1/6 * 1/6 * 1/6 * 1/6
Probability of All Die = 4 =1
7,776

Probability of All Die = 5 = (5,5,5,5,5)
Probability of All Die = 5 = 1/6 * 1/6 * 1/6 * 1/6 * 1/6
Probability of All Die = 5 =1
7,776

Probability of All Die = 6 = (6,6,6,6,6)
Probability of All Die = 6 = 1/6 * 1/6 * 1/6 * 1/6 * 1/6
Probability of All Die = 6 =1
7,776

Probability of Yahtzee = Sum of all 5 of a kind scenarios
Probability of Yahtzee =1 + 1 + 1 + 1 + 1 + 1
7,776

Probability of Yahtzee =6
7776

Using our GCF calculator, we reduce top and bottom by 6, to get
Probability of Yahtzee =1
1,296