Dice Probability Calculator
Calculate dice roll odds, probabilities, and statistics instantly
2 Dice • 3 Dice • 4 Dice • Average Roll • RPG • Star Wars Legion
2 Dice Roll Probability Calculator
Calculate the probability of getting a specific sum when rolling two 6-sided dice.
Two Dice Probability Table
| Sum | Probability | Percentage |
|---|---|---|
| 2 | 1/36 | 2.78% |
| 3 | 2/36 | 5.56% |
| 4 | 3/36 | 8.33% |
| 5 | 4/36 | 11.11% |
| 6 | 5/36 | 13.89% |
| 7 | 6/36 | 16.67% ⭐ Most Likely |
| 8 | 5/36 | 13.89% |
| 9 | 4/36 | 11.11% |
| 10 | 3/36 | 8.33% |
| 11 | 2/36 | 5.56% |
| 12 | 1/36 | 2.78% |
📚 How It Works
Formula: P(A) = Favorable Outcomes / Total Outcomes
Total possible outcomes when rolling 2 dice: 6 × 6 = 36
❓ Frequently Asked Questions
What is the probability formula?
P(A) = (Favorable Outcomes) / (Total Possible Outcomes). For example, rolling a 6 on one die: P(6) = 1/6 ≈ 16.67%
What is the most likely sum with two dice?
The sum of 7 has the highest probability (6/36 or 16.67%) with two standard dice. This is because there are 6 ways to roll a 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1).
How many total outcomes are possible?
Multiply the number of sides on each die. For 2 dice: 6×6=36 outcomes. For 3 dice: 6×6×6=216 outcomes. For 4 dice: 6×6×6×6=1,296 outcomes.
What is average dice roll?
Use the formula: Average = ((Max Value + 1) / 2) × Number of Dice. For one d6: (6+1)/2 = 3.5. For two d6: 3.5 × 2 = 7.
What are standard dice used for?
Dice are primarily used for tabletop games (D&D, Warhammer, Catan), role-playing games, probability simulations, and decision-making in games of chance.