1. What is Dice Probability?

Dice probability calculates the chance of getting a particular sum when rolling multiple dice. With standard six-sided dice, each die has equal probability (1/6) for each face.

2. How Does the Calculator Work?

The calculator determines the probability using combinatorial mathematics:

Where:

• Total outcomes = 6ⁿ (where n = number of dice)
• Favorable outcomes = Number of combinations that sum to target

3. Probability Basics

Details: With two dice, sums of 7 are most likely (6/36), while 2 and 12 are least likely (1/36 each). The distribution becomes more normal (bell-shaped) with more dice.

4. Using the Calculator

Tips: Select number of dice (2-5) and enter your target sum. The calculator shows the probability as percentage and fraction.

5. Frequently Asked Questions (FAQ)

Q1: What's the most likely sum for 2 dice?
A: 7 is the most probable sum with 6/36 (1/6) probability.

Q2: What sums are possible with 5 dice?
A: The possible range is 5 (all 1s) to 30 (all 6s).

Q3: Why does probability distribution change with more dice?
A: More dice create more possible combinations that produce middle sums, making extreme sums less likely.

Q4: Can I calculate exact probabilities for more than 5 dice?
A: Yes, but the calculations become more complex. This calculator focuses on 2-5 dice for practicality.

Q5: How accurate are these probabilities?
A: They're mathematically exact assuming fair, standard six-sided dice.