5d6 Dice Combinations and Yahtzee Odds
Rolling 5 standard 6-sided dice produces $6^5 = 7,776$ possible distinct permutations. The sums range from a minimum of 5 up to 30, forming a symmetric bell curve centered at the expected mean of 17.5.
In games like Yahtzee and Farkle, players look for specific poker-style patterns: Pairs, Three of a Kind, Full Houses, Small Straights, Large Straights, and Five of a Kind (Yahtzee).
Frequently Asked Questions (Roll 5d6)
What is the sum range and expected average of 5d6?
Rolling 5 six-sided dice yields a sum ranging from a minimum of 5 (1+1+1+1+1) to a maximum of 30 (6+6+6+6+6). The expected mathematical average is 5 × 3.5 = 17.5.
What are the odds of rolling a Yahtzee (all five dice identical) on the first roll?
The odds of rolling five-of-a-kind on a single throw of 5d6 is 6 / 6^5 = 6 / 7,776 = 1 / 1,296, which is approximately 0.077% (or about 1 in 1,296).
What are common board games and TTRPGs that roll 5d6?
Popular games include Yahtzee, Farkle, Liar's Dice, King of Tokyo, Champions / HERO System, and Shadowrun small dice pools.