Yahtzee Small Straight

Publish date: 2024-05-15
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In a yahtzee roll, calculate the probability of

Small Straight

Small Straight

Small Straight Probability Formula

Probability of a Small Straight = Total Combos of 1-2-3-4, 2-3-4-5, 3-4-5-6/All Possible Rolls

Total Combos of 1-2-3-4, 2-3-4-5, 3-4-5-6 = Total Combos of 1-2-3-4 * 3

Total Combos of 1-2-3-4 = 4 (1-4) * 4 (1-4) * 4 (1-4) * 1 choice left * (6 - 1 not Lg St)

Total Combos of 1-2-3-4 = 4 * 4 * 4 * 1 * 5

Total Combos of 1-2-3-4 = 320

Total Combos of 1-2-3-4 * 3 = 320 * 3

Total Combos of 1-2-3-4, 2-3-4-5, 3-4-5-6 = 960

Total Die Roll Combos

Total Possible Die Roll Combos = 6 * 6 * 6 * 6 * 6

Total Possible Die Roll Combos = 7,776

Probability of a Small Straight  =  Total Small Straight Combos
  Total Possible Die Roll Combos

Probability of a Small Straight  =  960
  7776

Final Answer

Using our GCF calculator, we reduce top and bottom by 96, to get

Probability of a Small Straight  =  10
  81

Probability of a Small Straight = 10/81

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What is the Answer?

Probability of a Small Straight = 10/81

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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