6-Sided Dice Roller (D6)

Roll one or more standard 6-sided dice. View results, sum, averages, and frequency distribution for games and probability experiments.

TOTAL SUM
--
Average
--
Highest
--
Lowest
--
Expected Sum
--

About the 6-Sided Die (D6)

The 6-sided die, or D6, is the most recognizable die in the world. It is a cube with faces numbered 1 through 6, typically with dots (pips) rather than numerals. D6 dice are used in virtually every board game, from Monopoly and Risk to Yahtzee and Craps.

The cube shape is one of the five Platonic solids, ensuring equal probability for each face. Standard dice have opposite faces summing to 7 (1-6, 2-5, 3-4), a convention dating back thousands of years.

D6 Statistics

P(any face) = 1/6 = 16.67%
Expected Value = (1+2+3+4+5+6)/6 = 3.5
Variance = 35/12 ≈ 2.917

For N dice, the expected sum is 3.5N. The standard deviation of a single D6 is approximately 1.708.

Single D6 Probability Table

FaceProbabilityCumulative
116.67%16.67%
216.67%33.33%
316.67%50.00%
416.67%66.67%
516.67%83.33%
616.67%100.00%

Common Uses

  • Board Games: The D6 is the standard die for Monopoly, Risk, Yahtzee, and countless other games.
  • RPGs: Used for damage rolls, ability checks, and various mechanics in many role-playing games.
  • Wargaming: Warhammer and other miniature games use pools of D6 dice.
  • Probability Teaching: The D6 is the most common tool for introducing probability concepts.

Frequently Asked Questions

What is the average roll on a D6?

The expected value (average) of a single D6 roll is 3.5. While you can never actually roll 3.5, over many rolls your average will converge to this value.

Are all dice perfectly fair?

Precision casino dice are manufactured to strict tolerances with sharp edges to ensure fairness. Regular game dice may have slight imperfections but are generally fair enough for casual gaming.

What is Yahtzee and how does it use D6 dice?

Yahtzee is a dice game using five D6 dice. Players roll up to three times per turn to achieve scoring combinations like three-of-a-kind, full house, and the coveted Yahtzee (all five dice the same).