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Roll up to five dice and watch the totals settle onto their exact probabilities.
A bar chart of the totals from rolling a chosen number of dice, from one to five. Blue bars show how often each total has come up so far; short rose marks show its exact probability. The last roll is drawn as dice faces. Press Play to roll continuously, or roll 100 at a time. With few rolls the bars are ragged; with thousands they settle onto the rose marks. With more dice the totals pile up in the middle in a bell shape.
Roll the dice, thousands of times
InteractiveThe math, with your numbers
The more you roll, the closer the share of each total gets to its probability: the law of large numbers.
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Want to know why it behaves like this?
The lesson “Probability: Counting the Chances” explains it step by step: If you can't predict one roll, how can physics predict anything random?