Random Dice Calculator
Calculate the minimum, maximum, and expected average total for any dice combination.
🧮
Enter your values and click Calculate
How It Works
For any fair die, each face is equally probable, so the expected value (average outcome) per die is the mean of all faces: (1 + sides) ÷ 2. For a standard d6 this is (1 + 6) ÷ 2 = 3.5. When rolling multiple dice, the expected total is simply the per-die average multiplied by the number of dice. The minimum possible total is always 1 per die (every die shows 1), and the maximum is the number of dice multiplied by the sides (every die shows the highest face). Total possible outcomes equals sides raised to the power of the number of dice, since each die outcome is independent.
Examples
Two standard d6 dice
Classic board game roll — 2 six-sided dice.
Result: Min 2, Max 12, Expected average 7, 36 total outcomes.
Single d20
Standard tabletop RPG attack roll.
Result: Min 1, Max 20, Expected average 10.5, 20 outcomes.
Four d8 dice
Damage roll for a heavy weapon.
Result: Min 4, Max 32, Expected average 18, 4,096 outcomes.
Frequently Asked Questions
Why is the expected average not a whole number?
For a fair die, the average of all faces is (sides + 1) / 2. For a d6 that is 3.5, so two d6 average 7. Over many rolls, your results will converge toward this value.
Can I use this for non-standard dice?
Yes. Enter any number of sides — d4, d10, d100, or a custom value like d7 or d13. The math works for any fair die.
What does total possible outcomes mean?
It is sides raised to the power of the number of dice. For 2d6 that is 6² = 36. Each outcome represents one specific combination of individual die results.
How do I find the probability of a specific total?
Probability calculations for specific totals require counting valid combinations, which grows complex quickly. For detailed probabilities, a dedicated dice probability tool is recommended.