In a yahtzee roll, calculate the probability of
Small Straight
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 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 |
Using our GCF calculator, we reduce top and bottom by 96, to get
Probability of a Small Straight = | 10 |
81 |