| Sum | Pairs out of 36 | Exact P | Rolled | Rolled share |
|---|---|---|---|---|
| 2 | 1 | 0.0278 | 0 | – |
| 3 | 2 | 0.0556 | 0 | – |
| 4 | 3 | 0.0833 | 0 | – |
| 5 | 4 | 0.1111 | 0 | – |
| 6 | 5 | 0.1389 | 0 | – |
| 7 | 6 | 0.1667 | 0 | – |
| 8 | 5 | 0.1389 | 0 | – |
| 9 | 4 | 0.1111 | 0 | – |
| 10 | 3 | 0.0833 | 0 | – |
| 11 | 2 | 0.0556 | 0 | – |
| 12 | 1 | 0.0278 | 0 | – |
Two fair six-sided dice have 6 × 6 = 36 ordered pairs, and each pair has probability 1/36. The sum 7 occurs in six of them, (1,6) through (6,1), so P(7) = 6/36 = 0.1667, the most likely total. The sums 2 and 12 each occur in one pair, so each has probability 1/36 = 0.0278. Rolls are generated with the browser's crypto random source and nothing is sent to a server. Over many rolls the rolled share should approach the exact column, but a short run can differ noticeably.
Roll two dice and compare the sums with the exact probabilities. Two fair six-sided dice produce 36 equally likely ordered pairs, and the sum of the faces ranges from 2 to 12. This roller throws both dice with a cryptographically random source, tallies every sum you roll, and sets the tally beside the exact probability of each total, so you can watch the rolled share approach the expected one over many throws.
The most likely sum is 7, with probability 6/36 = 0.1667, because six of the 36 pairs make it. Sums of 2 and 12 each occur in one pair, so each has probability 1/36 = 0.0278. Short runs vary a lot; the exact column is the value the rolled share approaches. 100% free, no registration, and complete privacy — everything runs locally in your browser, so your data never touches a server.
Each die uses crypto.getRandomValues with rejection sampling, so no face is favoured.
Every sum from 2 to 12 is counted across all rolls, with its share of the total.
The pairs column lists how many of the 36 ordered outcomes make each sum, and the exact column divides by 36.
The dice are thrown in your browser. Nothing is sent to a server.
Event probability, complements, P(A or B) and conditional probability.
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Flip a fair coin online, one flip or up to 1,000.
Exact and cumulative probabilities for k successes in n trials.
Seven can be made from six ordered pairs: 1+6, 2+5, 3+4, 4+3, 5+2 and 6+1. No other total has as many. So P(7) = 6/36, about 0.1667, the largest of the 11 possible sums.
Yes. 2d6 is the standard notation for two six-sided dice added together. This page is built for that case and shows the exact sum probabilities next to your rolls.
Each face is drawn from crypto.getRandomValues, the browser's cryptographic random source, and rejection sampling removes the small bias a plain remainder would add. Each face is equally likely.
There is no fixed number. With a few dozen rolls the shares scatter widely, and with thousands they settle close to the exact values. The tally shows the gap so you can judge it yourself.
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