Dice Probability Calculator Online
Calculate the exact probability of specific dice roll outcomes with any combination of dice for Dungeons & Dragons, Pathfinder, and other tabletop games. This advanced probability tool helps RPG players optimize character builds, gives game masters insight into encounter balance, assists game designers with mechanics development, and provides students with an interactive way to understand statistical concepts.
Custom Dice Roll Probability Calculator
Dice Setup
Die 1
Probability Target
Roll total is
Probability:
0.00%
Odds:
0 : 0
All Possible Outcomes
Configure dice settings to see probability results
Green rows indicate outcomes that match your target condition: roll = 7
Key Statistics
Minimum possible roll:
N/A
Maximum possible roll:
N/A
Average roll:
N/A
Total combinations:
0
Saved Calculations
No saved calculations yet. Use the calculator and save your results to see them here.
About Dice Probability
The probability of rolling a specific total with multiple dice follows the "Law of Large Numbers" - the more dice you roll, the more likely the total will be close to the average.
For example, with standard 6-sided dice, the most likely total when rolling two dice is 7 because there are more combinations that add up to 7 than any other number.
Tool Features
- Calculate probabilities for multiple dice combinations
- Support for standard and custom-sided dice
- Compare probabilities of different outcomes
- Analyze exact, greater than, less than, and range probabilities
- Save and track probability calculations
How To Use This Tool
Using the Custom Dice Roll Probability Calculator is straightforward:
- Select the number and type of dice (d4, d6, d8, d10, d12, d20, or custom)
- Choose the comparison operator (equals, greater than, less than, etc.)
- Enter your target number
- Click "Calculate Probability" to see your results
- Optionally save calculations for reference
Calculation Formula
Probability is calculated using combinatorial mathematics:
Probability = (Favorable Outcomes ÷ Total Possible Outcomes) × 100%
For multiple dice, the tool computes all possible combinations and counts those matching your criteria.
Typical Use Cases
- Tabletop RPG players assessing success chances for important rolls
- Game designers balancing probability in game mechanics
- Statistics teachers demonstrating probability concepts
- Game masters planning encounters with appropriate difficulty
- Board game enthusiasts analyzing strategic decisions
Who Can Benefit
- Tabletop Gamers: Understand the odds of critical game moments
- RPG Players & DMs: Plan strategies based on probability
- Game Designers: Create balanced game mechanics
- Math Educators: Teach probability with practical examples
- Probability Enthusiasts: Explore randomness in a controlled environment