Dice Average Formula:
From: | To: |
The average roll of a die is calculated by taking the mean of the minimum and maximum possible values. This gives you the expected value when rolling the die many times.
The calculator uses the simple average formula:
Where:
Explanation: For a standard die with values from 1 to N, the average is (1 + N)/2.
Details: Knowing the average roll helps players make strategic decisions in games, balance encounters in D&D, and understand probability distributions.
Tips: Simply select the type of dice you're using from the dropdown menu and click calculate to see the average roll.
Q1: Why is the minimum always 1?
A: Standard RPG dice always start at 1. Some specialized dice might start at 0, but those are rare.
Q2: Does this account for multiple dice?
A: No, this calculates the average for a single die. For multiple dice, multiply the average by the number of dice.
Q3: What about advantage/disadvantage?
A: This calculator shows the base average. Advantage/disadvantage systems change the probability distribution.
Q4: Are these averages exact?
A: Yes, these are the mathematical expected values, though actual rolls will vary around this average.
Q5: What's the average for a d100?
A: The average is 50.5, as it's (1 + 100)/2.