Roll up to 10 dice simultaneously and watch the probability distribution build live. Auto-roll up to 100,000 times to see the law of large numbers in action. Press Space to roll.
times
Roll to see distribution
Roll the dice to see the distribution…
● Actual
● Expected (theory)
No throws yet
#
Sum
Dice
How to use
Choose the number of dice (1–10) using the chip buttons at the top.
Click Roll or press Space to roll the dice.
Watch the donut chart and distribution table update live.
Enter a number in Auto Throw and click Auto Roll to simulate many rolls at once.
Click Reset Stats to clear the distribution and start fresh.
Frequently Asked Questions
What is the probability of rolling a 7 with two dice?
6 out of 36 combinations sum to 7, giving a probability of 1/6 ≈ 16.67%. Seven is the most common sum with two dice.
What is the law of large numbers?
As the number of trials increases, actual frequencies converge toward theoretical probabilities. Auto-roll 10,000+ times to see this in action.
What is the expected average for multiple dice?
Each d6 has an expected value of 3.5. For N dice, expected sum = N × 3.5. Two dice → 7, three dice → 10.5, etc.
Can I use a keyboard shortcut to roll?
Yes — press the Space bar to roll the dice without clicking the Roll button.
Does Auto Roll reset my existing stats?
Yes. Auto Roll always clears previous data and starts a fresh experiment, so results represent a clean statistical sample.
Did you know?
The oldest known dice were found in a 5,000-year-old backgammon set in Iran — made from carved bone.
A fair d6 must be a perfect cube: opposite faces always sum to 7 (1+6, 2+5, 3+4).
The probability of rolling all sixes with 10 dice is (1/6)¹⁰ ≈ 1 in 60 million — less likely than winning most lotteries.