Dice Average Calculator

Your details

How many dice are rolled together, for example 3 in a 3d6 roll.
Select the standard die or choose Custom to enter any number of sides.
A constant added to the total after rolling (can be negative). Leave 0 for no modifier.
Expected total
10.5

The long-run average sum of all dice plus the modifier

Average per die3.5
Minimum possible3
Maximum possible18
Range span15
Variance8.75
Standard deviation2.958
Minimum3
Expected10.5
Maximum18

Rolling 3d6 averages 10.50 over many rolls.

  • The expected total is exactly in the middle of the possible range (3 to 18), which is a property of all fair dice with equally-likely faces.
  • About 68% of real rolls will fall between 7.5 and 13.5 (one standard deviation around the mean).
  • With 3 dice the distribution is already roughly bell-shaped, making values near 10.5 more likely than the extremes.

Next stepTo compare two different dice pools side by side, calculate each separately and compare the expected totals and standard deviations to judge which pool is more reliable.

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