Dice Calculator 2026
Instantly calculate average rolls, min/max values, and exact probabilities for any tabletop RPG dice pool. Perfect for D&D, Pathfinder, and board games.
Dice Configuration & Target
Set your dice pool and calculate probabilities
How many dice are in your pool (e.g., 2 for 2d6)
Standard polyhedral dice used in tabletop RPGs
Add or subtract from the total roll (e.g., +3, -2)
Calculate the chance of rolling this specific number or better
Used for skill checks (≥) or exact probability (=)
Dice Statistics
Average, range, and probability breakdown
Configure your dice pool above, then click Calculate Dice Stats to reveal your expected values and probabilities.
Standard Dice & Averages
Quick reference for the most common polyhedral dice used in tabletop roleplaying games, showing their statistical range and expected average roll.
| Dice Type | Sides | Minimum | Maximum | Average |
|---|---|---|---|---|
| 🔺 d4 | 4 | 1 | 4 | 2.5 |
| 🟦 d6 | 6 | 1 | 6 | 3.5 |
| 🟠 d8 | 8 | 1 | 8 | 4.5 |
| 🔷 d10 | 10 | 1 | 10 | 5.5 |
| 🟣 d12 | 12 | 1 | 12 | 6.5 |
| 🟢 d20 | 20 | 1 | 20 | 10.5 |
| 🔵 d100 | 100 | 1 | 100 | 50.5 |
Tabletop RPG FAQ
Learn more about dice notation, probability math, and mechanics for Dungeons & Dragons, Pathfinder, and other tabletop games.
The average (expected value) of a dice roll is calculated using the formula: Average = (n × (s + 1) / 2) + m, where ‘n’ is the number of dice, ‘s’ is the number of sides, and ‘m’ is the modifier. For example, the average of 2d6+3 is (2 × 3.5) + 3 = 10.
In standard dice notation, ‘2d6+3’ means you roll two 6-sided dice, sum their results together, and then add 3 to the total. The minimum possible roll is 5 (1+1+3), the maximum is 15 (6+6+3), and the average expected roll is 10.
For a single die, the probability of rolling any specific number is 1 divided by the number of sides (e.g., 1/20 or 5% for a d20). For multiple dice, you must calculate the number of combinations that result in your target sum and divide by the total possible outcomes (sides^n). Rolling multiple dice creates a bell curve, making average results much more likely than extreme ones.
The 20-sided die (d20) is the most iconic and widely used die in tabletop RPGs like Dungeons & Dragons and Pathfinder, primarily for attack rolls, skill checks, and saving throws. The 6-sided die (d6) is also ubiquitous, commonly used for weapon damage, hit points, and general game mechanics.
Advantage means rolling two d20s and taking the higher result, which mathematically increases your chance of rolling high numbers (shifting the average from 10.5 to approximately 13.8). Disadvantage means taking the lower result, increasing the chance of low rolls (shifting the average to approximately 7.1). This changes the probability curve without altering the physical dice used.