统计与概率
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Dice Probability Calculator.
Calculate the exact probability of a target sum.
设备端计算无需注册
01
输入数值
输入时结果会更新。
02 / 答案
Favorable outcomes: 6
Total outcomes: 36
Probability: 0.166667
Results update automatically as you type.
Use Cases
Game Design and Balance
Determine the likelihood of certain dice outcomes to balance game mechanics or understand odds in tabletop games.
Example: Calculate the chance of rolling at least 10 with 2d6.
Educational Probability Demonstrations
Use as a teaching tool to illustrate probability distributions and combinatorial counting in statistics classes.
Example: Show the probability of rolling a sum of 7 with two six-sided dice.
Frequently Asked Questions
- How does the dice calculator work?
- It uses combinatorial formulas to count the number of ways to achieve a target sum with the given number of dice and sides, then divides by the total possible outcomes to give the probability.
- Can I use this for any number of dice and sides?
- Yes, you can input any positive integer for the number of dice and sides per die. The calculator will compute the probability for the target sum you specify.
- What if the target sum is impossible?
- If the target sum is less than the minimum possible sum (number of dice) or greater than the maximum (number of dice times sides), the probability is 0%.
Tips & Common Mistakes
Tips
- Ensure the target sum is within the possible range: from the number of dice to the number of dice times sides.
- For multiple dice, the distribution is symmetric; the probability of a sum S equals the probability of (max+min - S).
- Use the debounced results to quickly explore different scenarios without waiting for manual calculations.
Common Mistakes to Avoid
- Entering a target sum that is less than the number of dice or greater than the maximum possible sum, resulting in 0% probability.
- Confusing the number of dice with the number of sides; double-check your inputs.
Last updated: August 13, 2026