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D6 Roller

Total —
Faces rolled
—
Expected total
—
Lowest possible
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Highest possible
—
Sixes
—
Ones
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A d6 roller simulates fair six-sided dice. Each die shows 1 to 6 with equal chance, so one die averages 3.5 and two dice average 7. Set how many dice to throw, add a plus or minus modifier, and optionally drop the lowest die, as in the 4d6 ability-score method that averages 12.24.

About this tool

Board gamers who lost a die, tabletop players rolling damage, and teachers running probability lessons all need quick d6 results. This roller throws up to 50 six-sided dice at once, lists every face, adds a fixed modifier, and can discard the lowest die for character creation. Alongside the total it shows the lowest and highest totals that were possible and the expected average, so you can tell a lucky roll from an ordinary one. It also counts sixes and ones for games that care about them. The dice are fair and uniform; it does not model weighted dice or exploding sixes.

How to use it

  1. Set the number of dice

    Use the minus and plus buttons to choose between 1 and 50 dice.

  2. Add a modifier

    Type a bonus or penalty, such as 2 or -1, to add to the total.

  3. Drop the lowest if needed

    Tick the box to discard the smallest die, the usual 4d6 rule for ability scores.

  4. Read the faces

    The table lists every die, its face, and whether it counted toward the total.

Examples

Two dice, no modifier

Number of dice
2
Modifier added to the total
0

Result Total: 5
Faces rolled: 4 1
Expected total: 7
Lowest possible: 2
Highest possible: 12
Sixes: 0
Ones: 1

  1. Faces rolled: 4, 1
  2. sum of counted dice = 5
  3. Total = 5 + 0 = 5
  4. Expected total = 2 × 3.5 + 0 = 7

Two dice total anything from 2 to 12; 7 is both the average and the most common total.

4d6, drop the lowest

Number of dice
4
Modifier added to the total
0
Drop the lowest die
Yes

Result Total: 11
Faces rolled: 5 2 2 4
Expected total: 12.24
Lowest possible: 3
Highest possible: 18
Sixes: 0
Ones: 0

  1. Faces rolled: 5, 2, 2, 4
  2. Lowest die (2) dropped; sum of counted dice = 11
  3. Total = 11 + 0 = 11
  4. Expected total = 4 × 3.5 − E[lowest die] 1.7554 + 0 = 12.24

The classic ability-score roll keeps the best three of four dice, averaging 12.24 instead of 10.5.

One die plus 2

Number of dice
1
Modifier added to the total
2

Result Total: 7
Faces rolled: 5
Expected total: 5.5
Lowest possible: 3
Highest possible: 8
Sixes: 0
Ones: 0

  1. Faces rolled: 5
  2. sum of counted dice = 5
  3. Total = 5 + 2 = 7
  4. Expected total = 1 × 3.5 + 2 = 5.5

A 1d6+2 damage roll lands between 3 and 8 and averages 5.5.

How it is calculated

E[total] = n × 3.5 − E[lowest] + m, with E[lowest] = Σ ((7 − k) ÷ 6)ⁿ for k = 1…6 when dropping

n
number of dice rolled
m
modifier added to the total
E[lowest]
expected value of the smallest die, used only when it is dropped

Each die is an independent uniform draw from 1 to 6 using the browser's random source. The total is the sum of the counted dice plus the modifier. A single fair die has mean 3.5. When the lowest die is dropped, its expected value comes from the tail-sum rule: the minimum is at least k with probability ((7 − k) ÷ 6)ⁿ.

When not to use it

  • For dice with other face counts, such as d20 or d8, a general dice roller fits better.
  • For official tournament play where physical dice are required by the rules.

Common mistakes

  • Expecting the average to be 3.5 per die after dropping the lowest; dropping raises it.
  • Adding the modifier once per die when the game rule adds it once to the total.

Frequently asked questions

What is the average of one six-sided die?

It is 3.5, the mean of the faces 1 through 6. You can never roll 3.5 itself, but over many rolls the average settles near it.

Why is 7 the most common total with two dice?

Six of the 36 equally likely pairs add to 7 (1+6, 2+5, 3+4 and their reverses), more than any other total. Totals of 2 and 12 each have only one pair.

What does 4d6 drop lowest mean?

Roll four dice, discard the smallest, and add the remaining three. Many tabletop role-playing games use it for ability scores. It averages about 12.24, compared with 10.5 for a plain 3d6.

Are the rolls fair?

Each die is drawn uniformly from 1 to 6 by the browser's random number source, so every face has a one-in-six chance and earlier rolls have no effect on later ones.

How do I roll something like 3d6+2?

Set the number of dice to 3 and type 2 in the modifier box. The total includes the 2, and the possible range becomes 5 to 20.

Why count sixes and ones separately?

Some games score hits on sixes or trigger failures on ones, and dice-pool systems count successes rather than sums. The counts save you scanning the faces by eye.

Cite this tool

Using this tool in an assignment, article or report? Copy a citation, or a link for your website.

APA

Tools Directory Editorial Team. (2026, October 14). D6 Roller. Tools Directory. Retrieved October 26, 2026, from https://tools.milunir.com/fun-random/pickers-wheels-and-dice/d6-roller/

MLA

Tools Directory Editorial Team. “D6 Roller.” Tools Directory, 14 Oct. 2026, https://tools.milunir.com/fun-random/pickers-wheels-and-dice/d6-roller/. Accessed 26 Oct. 2026.

Chicago

Tools Directory Editorial Team. “D6 Roller.” Tools Directory. Last modified October 14, 2026. Accessed October 26, 2026. https://tools.milunir.com/fun-random/pickers-wheels-and-dice/d6-roller/.

Link<a href="https://tools.milunir.com/fun-random/pickers-wheels-and-dice/d6-roller/">D6 Roller – Tools Directory</a>