1. What is Two Dice Probability?

Two dice probability calculates the likelihood of getting a specific sum when rolling two standard six-sided dice. Each die has numbers 1-6, so sums range from 2 to 12.

2. How Does the Calculator Work?

The calculator uses the probability formula:

Where:

• Numerator — Number of possible combinations that result in the desired sum
• Denominator — Total possible outcomes (6 × 6 = 36)

Explanation: The probability is calculated by counting all favorable outcomes divided by all possible outcomes.

3. Probability Distribution

Details: The probability distribution is symmetric with 7 being the most likely sum (6 ways, 16.67% probability) and 2 or 12 being the least likely (1 way each, 2.78% probability).

4. Using the Calculator

Tips: Enter any integer sum between 2 and 12. The calculator will show the number of possible combinations and the corresponding probability.

5. Frequently Asked Questions (FAQ)

Q1: Why are there 36 possible outcomes?
A: Each die has 6 faces, and the outcomes are independent. So 6 × 6 = 36 possible combinations.

Q2: What's the most likely sum when rolling two dice?
A: 7 is the most probable sum, with 6 different ways to achieve it (1-6, 2-5, 3-4, 4-3, 5-2, 6-1).

Q3: Are all sums equally likely?
A: No, the probability varies from 2.78% (for 2 and 12) up to 16.67% (for 7).

Q4: How is this different from single die probability?
A: A single die has equal probability (1/6) for each outcome, while two dice create a bell-shaped probability distribution.

Q5: Can this be extended to more dice?
A: Yes, but with more dice the calculations become more complex and the distribution approaches a normal curve.