Yahtzee Large Straight


Calculate the probability of a Large Straight in Yahtzee:
Large Straight

Probability of a Large Straight = Total Combos of 1-2-3-4-5 or 2-3-4-5-6 / All Possible Rolls
Probability of 1-2-3-4-5 = Combos(1st die * 2nd die * 3rd die * 4th die * 5th die)
Combos of 1-2-3-4-5 = 5 * 4 * 3 * 2 * 1
Combos of 1-2-3-4-5 = 120
Combos of 2-3-4-5-6 = Same Combos as 1-2-3-4-5
Combos of 2-3-4-5-6 = 120

Total Combos of 1-2-3-4-5 or 2-3-4-5-6 = 120 + 120
Total Combos of 1-2-3-4-5 or 2-3-4-5-6 = 240

Total Possible Die Roll Combos = 6 * 6 * 6 * 6 * 6
Total Possible Die Roll Combos = 7,776

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

Probability of a Large Straight =240
7776

Using our GCF calculator, we reduce top and bottom by 48, to get
Probability of a Large Straight =5
162