Dice Probability Calculator

Every ordered roll of the dice is equally likely, so the probability of a sum is the number of rolls that produce it divided by the total number of rolls. For two six-sided dice there are 36 ordered rolls, and 6 of them add to 7, giving 6 divided by 36, about 16.67 percent.

Because more combinations add up to 7 than to any other total. There are six ways to make 7 (1 and 6, 2 and 5, 3 and 4, and their reverses), but only one way each to make 2 or 12. The number of ways rises to a peak in the middle and falls off toward the extremes.

At least adds up the chances of the target and every higher sum, so at least 11 covers sums of 11 and 12. At most adds up the target and every lower sum. Exactly counts only rolls that hit the target sum on the nose.

Yes. Set the number of sides to match your dice, such as 4, 8, 10, 12, or 20 for tabletop games. The calculator builds the full distribution of sums for any number of dice and sides and reports the exact odds.

Yes, it counts ordered outcomes, which is the correct way to get probabilities because each ordered roll is equally likely. The totals (36 for two six-sided dice) reflect this, and the resulting probability is the same as the intuitive answer.