In a yahtzee roll, calculate the probability of

Yahtzee

Yahtzee

Yahtzee Probability Formula

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

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

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

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

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

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

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

Final Answer

Using our GCF calculator, we reduce top and bottom by 6, to get

Probability of Yahtzee  =  1
  1,296


Probability of Yahtzee = 1/1,296


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What is the Answer?
Probability of Yahtzee = 1/1,296
How does the Yahtzee-1st Roll Calculator work?
Free Yahtzee-1st Roll Calculator - Calculates the probability of various scoring hands in the game of Yahtzee on the 1st roll of the dice.
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What 4 concepts are covered in the Yahtzee-1st Roll Calculator?
games
probability
the likelihood of an event happening. This value is always between 0 and 1.
P(Event Happening) = Number of Ways the Even Can Happen / Total Number of Outcomes
yahtzee
A dice game created by Milton Bradley
yahtzee-1st roll
Example calculations for the Yahtzee-1st Roll Calculator
Yahtzee-1st Roll Calculator Video

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