Press “Roll Dice” to roll three twenty-sided dice at once; the total is between 3 and 60. The average total is 31.5 and the most likely total is 31 and 32 (each 3.75%).
Quick facts
- Dice
- 3 twenty-sided dice (3d20)
- Total range
- 3 – 60
- Average total
- 31.5
- Most likely total
- 31 and 32 (300/8,000 ≈ 3.75%)
- All the same
- 20/8,000 ≈ 0.25%
- Highest total (60)
- 1/8,000 ≈ 0.013%
- Randomness
- Cryptographic, every face equally likely
3d20 total distribution
Three d20 have 8,000 equally likely outcomes. The extreme totals (3 and 60) can each be made only one way, while 31 and 32 can be made 300 ways — so the total clusters in the middle and extreme results are rare.
How do I roll?
- The dice roll automatically when the page opens. To roll again, press “Roll Dice”, tap the dice or hit the space bar.
- On a phone with “Shake to roll” enabled, just shake your device.
- Pick a die type from “Dice Types” in the top menu or the d4 – d20 tabs: roll 1–4 of a d4, d8, d10, d12 or d20, or 1–6 six-sided dice.
- Every roll is saved to “Roll History” with its total, and the “Stats” tab shows how often each face has come up.
Is Zar Salla a fair dice roller?
Yes. Results come from your browser’s cryptographic random number generator (Web Crypto API, crypto.getRandomValues), and rejection sampling gives every face exactly the same probability. Nothing is sent to a server, nothing is decided in advance and no roll depends on the previous one.
Just like real dice, short streaks of the same number are normal. As you roll more, each face’s share gets closer to the expected value — you can watch this yourself in the “Stats” tab.
How many d20 do you want to roll?
Frequently asked questions
What is the average of 3d20?
Each d20 averages 10.5, so 3 of them average 31.5.
What is the most likely total on 3d20?
31 and 32, with 300 of 8,000 outcomes (each 3.75%).
What are the odds that all three d20 match?
20/8,000 = 0.25%.
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