How many possible outcomes are there from rolling two dice?
For two standard 6-sided dice, there are 6 × 6 = 36 total possible outcomes. Each face of the first die can be paired with any face of the second die, giving 36 unique combinations. For other dice types, multiply the number of sides together — e.g. two D8 dice produce 64 outcomes. See also our Mixed Strategy Expected Gain — Parrondo's Paradox.
When rolling 2 dice, what is the probability of rolling a 7?
A sum of 7 can be achieved in 6 different ways: (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1). Since there are 36 total outcomes, the probability is 6/36 = 1/6 ≈ 16.67%. Seven is the most likely sum when rolling two standard 6-sided dice.
What are the odds of throwing more than 9 at craps?
A sum greater than 9 means rolling a 10, 11, or 12 with two D6 dice. There are 6 ways to achieve this: (4,6), (5,5), (6,4) for 10; (5,6), (6,5) for 11; and (6,6) for 12. That gives a probability of 6/36 = 1/6 ≈ 16.67%.
What is the least likely sum to roll with two 6-sided dice?
The sums of 2 (snake eyes) and 12 (box cars) are equally the least likely outcomes, each achievable in only 1 way out of 36 — giving a probability of 1/36 ≈ 2.78%. These represent rolling double 1s or double 6s respectively.
Which sum is most likely when rolling two D6 dice?
The sum of 7 is the most probable outcome with two D6 dice, occurring in 6 out of 36 combinations (probability ≈ 16.67%). This is why 7 plays such an important role in games like craps.
Does the calculator work for non-standard dice like D4 or D20?
Yes. The calculator supports D4, D6, D8, D10, D12, and D20 dice. Simply select the desired dice type and the calculator will enumerate all possible sums and their probabilities based on the correct number of sides.
What does 'at least one die equals' mean as a condition?
This condition calculates the probability that one or both dice show a specific face value. For example, the probability that at least one of two D6 dice shows a 6 is 1 − (5/6)² = 11/36 ≈ 30.56%. It uses the complement rule to avoid double-counting combinations where both dice match.