Dice roller

Tap the dice or press Space to roll.

Sum
8
Product
15

Recent rolls

0 total

No rolls yet. Press Roll dice to start.

Dice guide

A virtual dice roller. It does what a handful of real dice do, without the chasing-one-under-the-sofa part. Roll between 1 and 6 six-sided dice, see each result, and get the sum and product instantly. Results come from your browser's secure random number generator, so every face is equally likely.

  1. Press Roll dice, tap the dice, or hit the Space key.
  2. Read the sum and product under the dice.
  3. Open the gear to pick how many dice (1–6), turn animation and sound on or off, switch between 3D and Classic dice, and show or hide the totals and recent rolls.
  4. Use the expand icon for a clean full-screen view with just the dice. Press Esc to return.

Die is the singular, dice the plural. The standard die is a cube with six faces numbered 1 to 6 using dots, called pips.

Opposite faces always add up to 7: 1 sits opposite 6, 2 opposite 5, and 3 opposite 4.

Dice come in other shapes too. Tabletop games use 4, 8, 10, 12 and 20-sided dice, usually written d4, d8, d10, d12 and d20. This roller handles the classic d6.

  • Before dice: people threw animal ankle bones (knucklebones) that land on one of four sides. They show up in archaeological sites across the ancient world.
  • About 5,000 years ago: some of the oldest known cubic dice come from the Middle East and the Indus Valley, including a set found in the Burnt City in Iran.
  • Ancient Egypt, Greece and Rome: dice were popular for games and gambling, and Roman rulers repeatedly tried to ban the habit.
  • Middle Ages: games like Hazard spread across Europe, and later grew into modern craps.
  • 1500s–1600s: thinkers such as Cardano, Pascal and Fermat studied dice games and helped found probability theory.

  • Board games: Monopoly, Backgammon, Yahtzee, Catan.
  • Casino games: craps and sic bo.
  • Role-playing games: Dungeons & Dragons and many others use dice to decide outcomes.
  • Classrooms: a friendly way to learn probability, averages and counting.
  • Everyday choices: settling who goes first, or picking between options fairly.
  • Simulation: randomness is a core tool in modelling and testing.

With 2 dice there are 36 equally likely outcomes. Here is how often each total shows up.

2
2.78%
3
5.56%
4
8.33%
5
11.1%
6
13.9%
7
16.7%
8
13.9%
9
11.1%
10
8.33%
11
5.56%
12
2.78%

The most likely total is 7. The more dice you add, the more the totals bunch up in the middle (a bell curve).

Key concepts

Fair die
Every face has the same chance: 1 in 6, or about 16.7%.
Independence
Each roll ignores all earlier rolls. Five sixes in a row does not make the next six any less likely.
Gambler's fallacy
The mistaken belief that a number is "due". Dice have no memory.
Expected value
One die averages 3.5. Multiply by the number of dice for the average total (2 dice → 7).
Counting combinations
A 7 is the most common total with 2 dice because 6 of the 36 outcomes make it (1+6, 2+5, 3+4 and their reverses). A 2 or a 12 has just 1 way each, so 1/36 ≈ 2.8%.
At least one six
With n dice: 1 − (5/6)n. Currently 30.6% for 2 dice.
Law of large numbers
Short streaks look lumpy. Over thousands of rolls, results settle close to the true probabilities.