Dice Average Calculator

Q: What is the average roll of 2d6?

The average roll of 2d6 is 7 . Each d6 has an average of 3.5, so two of them give 3.5 + 3.5 = 7. The number 7 is also the most common result when rolling 2d6.

Q: What does 4d6D1 mean?

It means roll four six-sided dice and drop the lowest one . You add the remaining three dice together. This is the classic way to roll ability scores in D&D. The average result is about 12.24, which is higher than rolling 3d6 straight (average 10.5).

Q: What does the Iterate N feature do?

It replaces the letter n in your expression with each number from 1 up to the value you pick. For example, if you type nd6 and set Iterate to 4, the calculator will show results for 1d6, 2d6, 3d6, and 4d6 all at once.

Q: What is the Est. Count column in the probability table?

Est. Count stands for Estimated Count . It shows roughly how many times each result would appear out of all possible outcomes. For complex rolls like drop-lowest with many dice, these counts are approximations inferred from the probabilities.

Dice Average Calculator

Updated May 25, 2026 By Jehan Wadia

Introduction

This dice average calculator tells you the exact average, odds, and probabilities for any dice roll. Type in a dice expression like 2d6+3 or 4d6D1 (drop the lowest), and the tool does all the math for you. It shows the mean, median, mode, and standard deviation of your roll. You also get charts and a full table of every possible result with its probability. You can compare multiple dice expressions side by side to see which one gives better results. Whether you play D&D, Pathfinder, or any other tabletop RPG, this calculator helps you understand your dice rolls and make smarter choices.

How to Use Our Dice Average Calculator

Enter your dice details below to see the average roll, probabilities, and charts for any combination of dice.

Input Mode: Pick "Notation Mode" to type a dice expression like 2d6+3, or pick "Simple Mode" to choose a die type and count from dropdown menus.

Dice Expression: In Notation Mode, type your roll using standard dice notation. You can use formats like 4d6D1 (roll 4d6, drop the lowest 1), adv(d20) for advantage, dis(d20) for disadvantage, or 2d6reroll1 to reroll ones.

Die Type: In Simple Mode, pick the kind of die you want to roll, such as D4, D6, D8, D10, D12, or D20.

Number of Dice: In Simple Mode, enter how many dice you want to roll at once, from 1 to 20.

Iterate N: If your expression uses the letter "n," this setting replaces it with each number from 1 up to the value you pick. For example, nd6 with Iterate set to 5 will calculate 1d6 through 5d6.

Multiple Expressions: Type another dice expression and click the plus button to compare two or more rolls side by side on the same charts.

Calculate: Press the Calculate button to see your results. You will get the average, median, mode, standard deviation, probability charts, and a full table of every possible outcome.

Reset: Press the Reset button to clear all inputs and start over with the default settings.

What Is a Dice Average Calculator?

A dice average calculator tells you the most likely results when you roll dice. Instead of rolling dice hundreds of times by hand, this tool does the math for you instantly. It shows the average (mean), median, mode, and the full spread of every possible outcome. This is useful for tabletop games like Dungeons & Dragons, Pathfinder, and other RPGs where knowing your odds matters.

How Dice Probability Works

When you roll a single six-sided die (a d6), each face has an equal chance of landing: 1 in 6, or about 16.67%. When you roll two or more dice and add them together, the results are not all equally likely. Middle values come up far more often than very low or very high totals. For example, rolling 2d6 gives you a 7 more often than any other number because there are six different dice combinations that make 7, but only one way to roll a 2 or a 12. Understanding these distributions is closely related to concepts covered by a binomial distribution calculator or a normal distribution calculator, since rolling many dice produces a bell-shaped curve.

Common Dice Expressions Explained

2d6+3 — Roll two six-sided dice, add them together, then add 3.
4d6D1 — Roll four six-sided dice and drop the lowest one. This is the classic method for generating D&D ability scores.
adv(d20) — Roll two twenty-sided dice and keep the higher result. This is called advantage in D&D 5e.
dis(d20) — Roll two twenty-sided dice and keep the lower result. This is disadvantage.
2d6reroll1 — Roll two d6s, but if any die shows a 1, reroll it once. Some class features in D&D use this rule.

Key Statistics in the Results

The mean is the mathematical average of all possible outcomes, weighted by how likely each one is. You can learn more about computing averages with our average calculator or explore how the mean, median, and mode relate to each other. The median is the middle value — half of all rolls will land at or below it. You can also compute medians for any data set using our median calculator. The mode is the single most common result. The standard deviation tells you how spread out the results are. A low standard deviation means most rolls cluster near the average. A high one means results are more unpredictable. If you want to explore how likely a specific outcome is relative to the distribution, a Z score calculator can help quantify that.

Why This Matters for Tabletop Games

Knowing your dice odds helps you make smarter choices during gameplay. You can compare weapons, spells, or abilities to see which one deals more damage on average. You can figure out how likely you are to hit a target number on a skill check. You can also compare different rolling methods — like 4d6 drop lowest versus 3d6 straight — to see how they change your character's stats. The comparison feature in this calculator lets you view multiple expressions side by side on the same chart. For related gaming math, check out the EV calculator to compute expected value, the permutation calculator for ordering problems, or the poker odds calculator and blackjack calculator for card game probabilities. If you're tracking stats in video games, the KD calculator and win rate calculator are also helpful tools.

Frequently asked questions

What is the average roll of 2d6?

The average roll of 2d6 is 7. Each d6 has an average of 3.5, so two of them give 3.5 + 3.5 = 7. The number 7 is also the most common result when rolling 2d6.

How do I calculate the average of any single die?

Add the lowest face and the highest face, then divide by 2. For a d6, that is (1 + 6) ÷ 2 = 3.5. For a d20, it is (1 + 20) ÷ 2 = 10.5. Multiply by the number of dice to get the total average.

What does 4d6D1 mean?

It means roll four six-sided dice and drop the lowest one. You add the remaining three dice together. This is the classic way to roll ability scores in D&D. The average result is about 12.24, which is higher than rolling 3d6 straight (average 10.5).

How does advantage change my average d20 roll?

With advantage, you roll two d20s and keep the higher one. The average goes from 10.5 (single d20) up to about 13.82. Type adv(d20) into the calculator to see the full breakdown.

How does disadvantage change my average d20 roll?

With disadvantage, you roll two d20s and keep the lower one. The average drops from 10.5 to about 7.18. Type dis(d20) to see the exact probabilities.

Can I add a flat bonus to my dice roll?

Yes. Use a plus sign after your dice expression. For example, 1d20+5 rolls a d20 and adds 5. You can also use 2d6+3 or any other number. The calculator will shift the entire distribution by that amount.

What does the reroll option do?

The reroll option lets one die face get rolled again once. For example, 2d6reroll1 means if any die lands on 1, you reroll it one time and keep the new result, even if it is another 1. This raises the average slightly.

How do I compare two different dice expressions?

Type your first expression in the main input box. Then type a second expression in the Multiple Expressions field and click the plus button. Press Calculate and both rolls will appear side by side on the same charts with a comparison table.

What does the Iterate N feature do?

It replaces the letter n in your expression with each number from 1 up to the value you pick. For example, if you type nd6 and set Iterate to 4, the calculator will show results for 1d6, 2d6, 3d6, and 4d6 all at once.

What is the Est. Count column in the probability table?

Est. Count stands for Estimated Count. It shows roughly how many times each result would appear out of all possible outcomes. For complex rolls like drop-lowest with many dice, these counts are approximations inferred from the probabilities.

Why are some results simulated instead of calculated exactly?

When you roll a large number of dice with drop-lowest or drop-highest rules, the total number of possible outcomes becomes huge. The calculator switches to a Monte Carlo simulation (100,000 random trials) to give you fast, close estimates instead of taking a very long time to check every single combination.

What is the difference between the probability chart and the cumulative chart?

The probability chart shows the chance of rolling each exact value. The cumulative chart shows the chance of rolling that value or higher. Use the cumulative chart to answer questions like "What are my odds of rolling at least a 15?"

Is 3d6 the same as 1d18?

No. A d18 gives every number from 1 to 18 an equal chance. With 3d6, the range is 3 to 18 and the middle values like 10 and 11 are far more likely than the extremes. The distributions look very different even though the ranges overlap.

What dice should I use for the most consistent damage?

Use more small dice instead of fewer big dice. For example, 2d6 (average 7) has a tighter spread around the average than 1d12 (average 6.5). The standard deviation of 2d6 is lower, meaning your damage will be more predictable. You can compare them side by side in this calculator.

Can I use this calculator for dice pools or non-standard dice?

You can use any die size by typing it into the notation, like 3d7 or 1d100. The calculator handles any number of sides. However, it does not currently support counting successes in dice pool systems like World of Darkness or Shadowrun.

What is the maximum number of dice I can calculate?

In Simple Mode, you can roll up to 20 dice. In Notation Mode, basic rolls work with large numbers, but drop-lowest and drop-highest use exact math for up to 10 dice with 20 sides or fewer. Larger rolls switch to simulation automatically.