Dice Probability Calculator
Works out the chance of any total, for any common type of die.
Exactly this total
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This total or more —
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At least one die shows a chosen face —
All totals
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The formula
P(total) = ways to reach it ÷ sidesⁿ
The full distribution is built one die at a time, so the figures are exact rather than a normal approximation.
What to watch out for
Rolling 2 dice can make 7 in six ways but 2 or 12 in only one way each, which gives the familiar peak in the middle.
Frequently Asked Questions
What is the chance of rolling 7 with two dice?
16.67% (1 in 6).
What is the chance of rolling 18 with three dice?
0.463% (1 in 216).
What is the chance of at least one six in four rolls?
51.77%.