Dice Distribution Explorer
Explore how pooling dice changes the distribution shape compared to a flat d100. Each refresh generates new random samples.
Min: 10, Max: 200,000 (Enter to refresh)
Distribution Comparison
Note: Some dice pools cannot produce extreme values because their minimum equals the number of dice rolled. For example, 10d10 can never roll below 10.
Understanding Dice Distributions
d100 (flat): Every result from 1-100 has equal probability (~1%). This creates a uniform, flat line.
Dice pools: When you sum multiple dice, the distribution forms a bell curve. More dice = tighter curve around the mean. This is the Central Limit Theorem in action!
1d1000 → 1-100: Rolling a d1000 and mapping to 1-100 still produces a flat distribution—more resolution doesn't create bell-curve behavior.
Try it: Compare 25d4 vs 5d20. Both can reach similar totals, but 25d4 clusters tightly around 62-63, while 5d20 spreads more evenly across its range.