Roll virtual dice with 4, 6, 8, 10, 12, or 20 sides. Roll multiple dice and see totals, averages, and distributions. Free online dice roller.
The Dice Roll Simulator lets you roll virtual dice of any type ā standard d6, d20 for tabletop RPGs, or custom-sided dice. Roll one or many dice and see individual results, totals, and statistics.
Dice rolling is essential in board games, tabletop roleplaying games (D&D, Pathfinder), probability education, and randomized decision-making. This simulator supports d4, d6, d8, d10, d12, d20, and custom dice.
Roll large numbers of dice to explore probability distributions. The sum of multiple dice follows a roughly bell-shaped distribution, illustrating the central limit theorem in action.
By calculating this metric accurately, professionals gain actionable insights that support smarter work habits, more realistic scheduling, and improved work-life balance over time. Understanding this metric in precise terms allows professionals to set achievable targets, measure progress objectively, and continuously refine their approach to time and task management.
By calculating this metric accurately, professionals gain actionable insights that support smarter work habits, more realistic scheduling, and improved work-life balance over time.
No physical dice needed. Roll any combination of dice instantly, track totals, and explore probability distributions without setup. This quantitative approach replaces vague time estimates with concrete data, enabling professionals to plan realistic schedules and avoid the pattern of chronic overcommitment. Precise quantification supports meaningful goal-setting and accountability, ensuring that improvement efforts are focused on areas with the greatest potential impact on output.
For a fair d-sided die: P(any face) = 1/d Expected value per die = (d+1)/2 Variance per die = (dĀ²ā1)/12
Result: e.g. 3 + 5 = 8
Two six-sided dice rolled. Expected sum = 7 (average of 3.5 per die). Sums range from 2 to 12, with 7 being the most common.
A single die has a uniform distribution. The sum of two dice forms a triangular distribution (2d6 peaks at 7). As more dice are added, the distribution becomes increasingly bell-shaped.
Tabletop RPGs use polyhedral dice sets (d4 through d20). Wargames use handfuls of d6. Casino games (craps) are built entirely around 2d6 probability.
"3d8+5" means roll 3 eight-sided dice and add 5 to the total. This concise notation is standard in tabletop gaming and game design documentation.
Consistent practice with varied problems builds computational fluency and deepens conceptual understanding that transfers across many technical fields.
D&D uses d4, d6, d8, d10, d12, and d20. The d20 is used for most ability checks and attack rolls. Damage dice vary by weapon.
There are 6 ways to roll a 7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1) out of 36 possible outcomes. That is 16.7%, the highest probability for any sum.
As you add more dice, their sum's distribution approaches a bell curve (normal distribution), regardless of the individual die shape. This is the central limit theorem.
A loaded or weighted die has unequal probabilities for each face. This simulator uses fair dice with equal probability for all faces.
Roll 2d20 and take the higher (advantage) or lower (disadvantage). Advantage increases the average from 10.5 to about 13.8; disadvantage lowers it to about 7.2.
Yes, the custom option lets you set any number of sides. However, physical dice with more than 120 faces are impractical; virtual dice have no such limit.