How to Roll Virtual Dice and Understand the Results
A dice roller is a cluster of independent integer draws with a friendly shape. Number Draw Ledger’s virtual dice sit on a dark tray: choose how many dice (1–10), choose faces (4, 6, 8, 10, 12, or 20), then roll. Each face is an integer from 1 through the side count, generated with the same unbiased helper as the number generator. There is no physics engine and no animation that secretly decides the outcome.
Common dice sizes
Four-sided through twenty-sided dice show up in tabletop notes as d4, d6, d8, d10, d12, and d20. A d6 is the familiar cube. A d20 is often used for wide checks in games. On this site each listed size is just “minimum 1, maximum equal to the face count.” A twenty-sided roll cannot show 0 or 21.
Dice notation such as 2d6
Write the count, then the letter d, then the sides. 1d6 is one six-sided die. 3d6 is three six-sided dice. 2d20 is two twenty-sided dice. The tray prints that notation after a roll, along with each face and the total. The total is ordinary addition. If the faces are 2, 5, and 6, the total is 13, not a special “dice number.”
Independent rolls
Die two does not look at die one. Rolling three dice is three separate uniform draws, not one draw of a total. That distinction matters as soon as you care about sums. You can also roll one d6 three times in a row; those clicks are independent of each other as well.
Minimum and maximum totals
For N dice with S sides, the smallest total is N (every die shows 1). The largest total is N×S (every die shows S). For 3d6 that window is 3 through 18. For 1d20 it is 1 through 20. For 2d6 it is 2 through 12. The roller should never show a face outside 1…S, and the printed total should match the faces you can count on screen.
Why some sums occur more often
Two six-sided dice give 36 equally likely ordered outcomes: (1,1), (1,2), …, (6,6). First die has six faces, second die has six, 6×6 = 36. Each ordered pair is designed to be as likely as any other pair.
The sums are not equally likely. Sum 2 happens only as (1,1)—one pair. Sum 12 happens only as (6,6)—one pair. Sum 7 happens as (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1)—six pairs. So 7 is the most common total on 2d6, while 2 and 12 are the least common. That is counting, not a story about luck. If you roll 2d6 many times you should see 7 more often than 12; a short session can still look uneven.
One d6 is different: the six faces are equally likely, and there is no sum of two variables to stack. Three d6 totals have an even richer middle because more combinations pile into the center of 3–18.
Practical educational uses
Teachers can show the 36-pair table and then roll the tray to compare a small sample with the theory. Game groups can replace missing physical dice. Designers can test a mechanic such as “highest of 2d20” by rolling twice and reading faces, not only totals. None of these uses make the roller a certified random device for contests that require witnessed hardware.
If you need a number that is not a die face—say 1 to 100—use the random number generator instead of pretending a d100 exists on this tray. For two-way choices, the coin flip is the clearer model.
Reduced-motion preferences are respected; the site does not rely on spinning dice to pick a number. What you see is what the engine drew.
Check a roll in two steps. First, every face is an integer in range. Second, the total equals the sum. If you roll 4d6 and see 1, 3, 3, and 6, the total must be 13. Repeating a face is allowed because dice are independent; unique mode belongs to the integer picker, not to this tray. A d20 showing 20 twice in two clicks is the same kind of event as a coin showing heads twice.
Notation mistakes are common: 6d1 is not on the menu, and “d6 three times” is 3d6, not 6d3. Pick the count in the first control and the faces in the second. The printed line restates what you rolled so you can copy it into notes as 2d8 or 1d20 without guessing.
FAQ
- Why did I roll two 6s in a row on a d6?
- Each roll is independent. Repeats are allowed and expected sometimes.
- Does the total replace the individual dice?
- No. The tray shows each face and the sum so you can check the addition.
- Are 2d6 totals uniform from 2 to 12?
- No. There are 36 ordered outcomes. The eleven possible sums do not each get 36/11 pairs.