如何计算Dice Probability
learn.whatIsHeading
Dice probability uses combinatorics to calculate the exact likelihood of rolling specific sums or outcomes with one or more dice. The distribution of sums follows a discrete probability distribution that becomes approximately bell-shaped (normal) as more dice are added — an illustration of the Central Limit Theorem.
公式
- P
- T) = ways / total outcomes — T) = ways / total outcomes
- T
- ways / total outcomes — ways / total outcomes
分步指南
- 1Total outcomes for d dice with s sides: sᵈ
- 2Count ways to roll exactly target sum T: dynamic programming (convolution of dice distributions)
- 3P(sum = T) = ways / total outcomes
- 4Expected sum for d dice with s sides: d × (s+1)/2
- 5Variance: d × (s²−1)/12
例题解析
常见问题
What is Dice Probability?
Dice probability uses combinatorics to calculate the exact likelihood of rolling specific sums or outcomes with one or more dice. The distribution of sums follows a discrete probability distribution that becomes approximately bell-shaped (normal) as more dice are added — an illustration of the Central Limit Theorem
How accurate is the Dice Probability calculator?
The calculator uses the standard published formula for dice probability. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.
What units does the Dice Probability calculator use?
This calculator works with inches. You can enter values in the units shown — the calculator handles all conversions internally.
What formula does the Dice Probability calculator use?
The core formula is: P(sum = T) = ways / total outcomes. Each step in the calculation is shown so you can verify the result manually.
准备好计算了吗？尝试免费的 Dice Probability 计算器
自己尝试一下 →