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
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.
This calculator has 1 input.
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
