In a yahtzee roll, calculate the probability of
Large Straight
Large Straight Probability Formula
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
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 Die Roll Combos
Total Possible Die Roll Combos = 6 * 6 * 6 * 6 * 6
Total Possible Die Roll Combos = 7,776
Plug in numbers
| Probability of a Large Straight = | Total Large Straight Combos |
| Total Possible Die Roll Combos |
| Probability of a Large Straight = | 240 |
| 7776 |
Final Answer
Using our GCF calculator, we reduce top and bottom by 48, to get
| Probability of a Large Straight = | 5 |
| 162 |
Probability of a Large Straight = 5/162
