Dice Average Calculator

Calculate the average outcome of dice rolls based on different numbers of dice and sides

Input Parameters

Calculation Results

Calculation Formula

Expected Average = (Number of Sides × Number of Dice × Number of Rolls) ÷ Number of Rolls

Where:
Number of Dice: The quantity of dice being rolled
Number of Sides: The sides on each die
Number of Rolls: The total number of dice rolls performed

Expected Average:

0

Actual Average from Simulation:

0

Standard Deviation:

0

Dice Average Calculator Calculator Usage Guide

Learn how to use the Dice Average Calculator and understand dice probability theory

How to Use This Calculator

  1. Enter the number of dice you want to roll
  2. Set the number of sides on each die (standard dice have 6 sides)
  3. Specify how many times you want to roll the dice
  4. Click the "Calculate" button to see the results

Understanding Dice Averages

The expected average of dice rolls follows a simple formula: (Number of Sides × Number of Dice). This calculator not only shows you the expected average but also simulates actual dice rolls to demonstrate the law of large numbers.

What is the Law of Large Numbers?

The law of large numbers states that as the number of trials in a random event increases, the average result will approach the expected value. This calculator demonstrates this principle by showing how the actual average from many rolls approaches the theoretical expected average.

Standard Deviation Explained

Standard deviation measures how spread out the values of dice rolls are from the average. A higher standard deviation means the results are more spread out, while a lower standard deviation means the results are clustered closer to the average.