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Random Generator

Virtual Dice Roller

Roll standard RPG dice (D4, D6, D8, D10, D12, D20, D100) or specify custom face counts for board games.

Roll Setup

Dice & Probability

Understanding
Dice Sizing & Probability

Dice rolling is one of the oldest methods of generating random numbers. In modern tabletop games (RPGs) like Dungeons & Dragons, dice are classified by their number of faces.

Standard Dice Shapes

Standard gaming dice are based on Platonic solids:

  • D4 (Tetrahedron): Standard four-sided die, generating numbers 1 to 4.
  • D6 (Cube): The traditional six-sided die found in classic board games.
  • D8 (Octahedron): An eight-sided die.
  • D10 (Pentagonal Trapezohedron): Ten-sided die, commonly used in pairs to roll percentages (0-99 or 1-100).
  • D12 (Dodecahedron): Twelve-sided die.
  • D20 (Icosahedron): The ultimate RPG action resolver, displaying numbers 1 to 20.

Dice Statistics & Probability Distribution

When rolling a single die (e.g., 1d6), every number has an equal probability (flat distribution). However, when rolling multiple dice (e.g., 2d6), the probability curve resembles a bell curve:

  • The most common sum when rolling 2d6 is 7 (6 combinations: 1+6, 2+5, 3+4, 4+3, 5+2, 6+1).
  • The least common sums are 2 (snake eyes) and 12 (boxcars), with only 1 combination each.
  • Adding more dice increases the central limit tendency, meaning outcomes will cluster closer to the average sum.