Yahtzee Chance

Yahtzee Chance Image to Crop

In a yahtzee roll, calculate the probability of

Chance

Chance Probability Formula

Probability of Chance = Probability of No Scoring Rolls

Probability of Chance = All Possible Roll Scenarios - All Winning Scenarios

Probability of All Winning Scenarios = Yahtzee + 4 of a kind + Full House + Lg St . Sm St + 3 of a kind

Probability of All Winning Scenarios = 1/1,296 + 25/1,296 + 25/648 + 5/162 + 10/81 + 25/162

Probability of All Winning Scenarios = 476/1,296

All Possible Roll Scenarios

All Possible Roll Scenarios = 6 faces per die for 5 dies

All Possible Roll Scenarios = 6 * 6 * 6 * 6 * 6

All Possible Roll Scenarios = 7,776

All Possible Roll Scenarios - All Winning Scenarios = 1 - 476/1,296

Plug in numbers

Probability of Chance =	(1,296 - 476)
	1,296

Probability of Chance (Nothing) =	820
	1296

Final Answer

Using our GCF calculator, we reduce top and bottom by 4, to get

Probability of Chance (Nothing) =	205
	324

Probability of Chance (Nothing) = 205/324

You have 1 free calculations remaining

What is the Answer?

Probability of Chance (Nothing) = 205/324

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.
This calculator has 1 input.

What 4 concepts are covered in the Yahtzee-1st Roll Calculator?

gamesprobabilitythe 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 OutcomesyahtzeeA dice game created by Milton Bradleyyahtzee-1st roll

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