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Dice Probability Calculator

Calculate the probability of dice sum totals

入力

(1個:1-6、2個:2-12、3個:3-18…)

About Dice Probability Calculator

The Dice Probability Calculator accurately computes the probability of getting a specific sum when rolling 1 to 6 six-sided dice simultaneously. While a single die has a simple 1/6 probability per face, multiple dice create rapidly increasing combinations that are difficult to calculate by hand. This tool uses dynamic programming (DP) to quickly and accurately compute the probability distribution of sums for N dice.

For example, the probability of rolling a sum of 7 with two dice is 6/36 = 16.67%, while a sum of 2 is only 1/36 = 2.78%. A complete probability distribution table is auto-generated, making it useful for tabletop games, TRPGs, and board game strategy planning.

How to use Dice Probability Calculator

  1. Select the number of dice you want to roll, from one to six dice.
  2. Enter the target sum value whose probability you want to calculate.
  3. Review the probability of that sum in percentage and fraction formats.
  4. Check the full probability distribution table to compare other possible totals.

Benefits of Dice Probability Calculator

  • Dynamic programming provides exact probability results without relying on random simulation.
  • The generated distribution table makes it easy to compare which totals are more likely.
  • TRPG, board game, teaching, and probability-study scenarios can use the same calculation.
  • Up to six dice are supported for common tabletop and classroom use cases.
  • Browser-only processing keeps the calculation conditions on your device.

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