Dice Probability Calculator

Dice Probability Calculator MCP Connector for Claude

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Calculate full probability distributions, statistical metrics, and success thresholds for any dice notation.

3 tools Official Updated Jun 28, 2026 Official Vinkius Partner

The Dice Probability Calculator is a specialized engine designed to model the mathematical outcomes of tabletop gaming dice rolls. By providing specific dice notations like '2d6' or '1d20+5', users can instantly retrieve complete statistical profiles including mean, median, mode, and standard deviation. The tool supports advanced mechanics such as advantage, disadvantage, and dropping lowest dice (e. handles 4d6 drop lowest). Use compute_dice_distribution to see the full frequency distribution, calculate_threshold_probability to find your chance of hitting a specific Difficulty Class (DC), or compare_roll_mechanics to quantify exactly how much advantage improves your success rate against a target value.

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3 tools expose this connector's capabilities to your AI agent.

compare_roll_mechanics

Quantifies the impact of changing a roll mechanic

compute_dice_distribution

g., "1d6"). Supports modifiers, dropCount, and mechanics like advantage/disadvantage. Computes the statistical profile for a dice notation

calculate_threshold_probability

Determines the probability of achieving a result >= target value

See how to talk to your AI agent using Dice Probability Calculator.

What is the average roll and standard deviation for 2d6?

For a 2d6 roll, the mean (average) is 7.0 and the standard deviation is approximately 1.71.

What is my chance of rolling a 15 or higher on a 1d20+5?

The probability of achieving a result of 15 or higher with 1d20+5 is 35%.

How much does advantage improve my chance of hitting a DC 15 on a 1d20 roll?

Switching from a straight roll to advantage increases your success probability against DC 15 from 30% to 51.25%, an improvement of 21.25%.

The engine supports standard notation like '1d20', '2d6+3', and complex rules like '4d6' with the `dropCount` parameter to simulate dropping the lowest die.

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