# Dice Probability Calculator

URL: https://speedycalculator.com/calculators/statistics/dice-probability/
Last updated: 2026-10-25

> The dice probability calculator gives the chance of rolling a specific total with two six-sided dice, and the chance of rolling at least that total.

## Inputs

- Target total (2–12)

## Results

- P(exact total)
- Ways to roll it
- P(total ≥ target)

## Formula

```
P(sum = s) = (6 − |s − 7|) ÷ 36   for 2 ≤ s ≤ 12
```

## Explanation

With two dice, middle totals are more common because more combinations produce them; 7 is the most likely sum.

### How to use the Dice Probability Calculator

- **Target total (2–12)**

Results update as you type, and every field accepts the units shown in its menu.

### How it works

Count the combinations that make the total and divide by the 36 possible outcomes.

### What each result means

- **P(exact total)** = (6 - abs([Target total (2–12)] - 7))÷36×100
- **Ways to roll it** = 6 - abs([Target total (2–12)] - 7)

### Example values

How the main result changes when **Target total** changes and everything else stays at the example values above:

Target total (2–12)P(exact total) (%)3.56.9445.2511.806716.6678.7511.80610.56.944

## Worked example

Inputs — Target total (2–12): 7.

Results — **P(exact total) = 16.667 %**; Ways to roll it = 6; P(total ≥ target) = 58.333 %.

## FAQ

**Why is 7 the most common total?**
Six combinations make 7, more than any other sum.

**What about three or more dice?**
The distribution becomes more bell-shaped; it needs a convolution to compute.

**What formula does the Dice Probability Calculator use?**
P(sum = s) = (6 − |s − 7|) ÷ 36   for 2 ≤ s ≤ 12.