2d3

2d3 is a dice roll notation used in tabletop role-playing games and probability-based games. In NdX notation, N is the number of dice rolled and X is the number of sides on each die. Therefore, 2d3 means rolling two three-sided dice and adding the two results.

A d3 is a die that yields the integers 1, 2, or 3 with equal probability. The sum of two independent d3 rolls can produce totals from 2 to 6. The distribution is triangular: 2 occurs with probability 1/9, 3 with 2/9, 4 with 3/9, 5 with 2/9, and 6 with 1/9. The expected value of 2d3 is 4, and the variance is 4/3 (standard deviation about 1.15).

In play, 2d3 is used to model small, modest outcomes. Because the distribution favors sums near 4, results closer to the middle are more common than extremes. This can produce moderate variability without the wider spread of rolling more dice.

Variants and related usage include adding modifiers, such as 2d3+1 or 2d3-1, or combining 2d3 with other dice expressions in game rules. Some systems use 2d3 as a component to achieve finer gradations in outcomes than a single d3 or other common dice, while remaining simpler than larger dice pools.