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Dice Probability Calculator

Math
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Calculates the probability of different outcomes when rolling multiple dice.

How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Number of Dice, Sides per Die, Target Sum, Target Face Value (for specific outcome), and Number of Dice to Match Face Value in the units shown.

Step 2

Read Probability of Matching Face Value, Maximum Possible Sum, Minimum Possible Sum, and Probability of Target Sum in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

Two Dice, Sum of 7

Number of Dice: 2; Sides per Die: 6 Sides; Target Sum: 7; Target Face Value (for specific outcome): 1; Number of Dice to Match Face Value: 0

Probability of Matching Face Value: 0.6944444444 Percentage; Maximum Possible Sum: 12; Minimum Possible Sum: 2; Probability of Target Sum: 0 Percentage

Three Dice, Sum of 10

Number of Dice: 3; Sides per Die: 6 Sides; Target Sum: 10; Target Face Value (for specific outcome): 1; Number of Dice to Match Face Value: 0

Probability of Matching Face Value: 0.5787037037 Percentage; Maximum Possible Sum: 18; Minimum Possible Sum: 3; Probability of Target Sum: 0 Percentage

One Die, Target of 6

Number of Dice: 1; Sides per Die: 6 Sides; Target Sum: 6; Target Face Value (for specific outcome): 1; Number of Dice to Match Face Value: 0

Probability of Matching Face Value: 0.8333333333 Percentage; Maximum Possible Sum: 6; Minimum Possible Sum: 1; Probability of Target Sum: 0.1666666667 Percentage

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