Dice Average + Roll (DND/Tabletop) Calculator

Enter dice notation like 14d8, 13d8, 12d8, or 3d8+5 into the calculator below to find the average roll or generate a sample dice roll.

• All Math and Numbers Calculators
• Dice Probability Calculator
• Empirical Probability Calculator
• Spinner Probability Calculator
• Compound Probability Calculator
• Odds Calculator

Dice Average Formula

Most people searching for dice averages use expressions like 8d6, 10d10, 12d8, or 5d12. In this format, XdY means rolling X dice with Y sides each. To calculate the expected value of a dice expression, multiply the number of dice by the average value of one die.

AV = N \times \frac{S + 1}{2}

• AV is the average roll value
• N is the number of dice
• S is the number of sides on each die

If your expression includes a modifier, add or subtract it after calculating the dice average. For example, 3d8+5 has an average of 3 × (8 + 1) / 2 + 5 = 18.5.

Dice Average Definition

A dice average is the expected total value of a dice expression over many rolls. For example, the average of 8d6 is the value you would expect over time if you rolled eight six-sided dice again and again. This is why users often search terms like 10d10 average, average of 12d8, or 8d8 average damage.

Dice Average Example

Here is a simple example using one of the most common search phrases, average of 8d6.

1. Determine the number of dice. For 8d6, N = 8.
2. Determine the number of sides on each die. For d6, S = 6.
3. Find the average of one die: (6 + 1) / 2 = 3.5.
4. Multiply by the number of dice: 8 × 3.5 = 28.

So, if you are asking what is the average of 8d6, the answer is 28.

Common Dice Averages

• 5d6 average = 17.5
• 6d6 average = 21
• 8d6 average = 28
• 10d6 average = 35
• 10d8 average = 45
• 10d10 average = 55
• 12d8 average = 54
• 13d8 average = 58.5
• 16d6 average = 56
• 20d6 average = 70
• 40d6 average = 140

Dice Average vs Dice Roll

The average is the expected result over many rolls. A roll is one actual random result. For example, the average of 14d8 is 63, but if you choose to roll 14d8, the actual total can be lower or higher. That is why this calculator includes both average and roll functionality.

Is This Mainly for D&D?

In many cases, yes. searches such as 8d6 average, 8d8 average damage, 12d8 average, and 20d6 average often come from D&D and tabletop RPG players checking spell damage, weapon rolls, monster attacks, or homebrew balance. The calculator works for any dice expression, but tabletop gaming is one of the main intents behind this page.

FAQ