Can the dice roller use custom-sided dice?

Yes. It supports whole-number dice from d2 through d1000 and up to 100 dice per trial.

Can it roll with advantage or disadvantage?

Yes. Advantage rolls 2d20 and keeps the highest one, while disadvantage keeps the lowest one.

Are dice rolls stored or transmitted?

No. Rolls and history remain in the current browser page and are not transmitted by the calculator.

Dice Roller And Counter: Formula, Steps & Results

Advanced browser dice laboratory

Dice Roller, Counter and Probability Simulator

Roll d4 through d1000, use tabletop keep and reroll rules, count successes, simulate thousands of trials, and inspect every result without an account or remote calculation service.

Cryptographic browser RNGPrivate session historyCustom dice rulesProbability-ready trials

READY2d6Press R outside a form field to roll

Dice notation Type a roll such as 4d6kh3+2

Supported: XdY, kh/kl, +/− modifier, r1, ! and face-success rules such as 10d6>=5.

Quick dice

01 · Build the roll

Dice pool and simulation

Every setting updates the live preview

Dice per trial Sides per die Number of trials Total modifier

02 · Keep or drop

Selection rule

Keep rule Number kept Exact face to count

03 · Count successes

Target rule

Success basis Comparison Success threshold

Reroll initial 1s once The replacement roll may also be a 1.

Explode the maximum face Add another roll whenever the selected die lands on its highest face.

Maximum explosion chain

Keyboard shortcut: press R outside an input to roll the current setup.

Results laboratory

Counts, distribution and session history

Ready for the first roll

Face-frequency profile

Recent kept totals

No rolls in this browser session yet.

One dice roller for tabletop games, classrooms and probability trials

Use a single quick die, a d20 advantage roll, a 4d6 keep-highest ability-score roll, a success-counting dice pool, or as many as 10,000 repeated trials. The calculator keeps the live roll visually separate from the statistical summary so a game result is never confused with a simulation average.

Dice notation supported by this calculator

Enter standard notation such as 2d6+3, 4d6kh3, 2d20kl1, 3d8!, 6d6r1, or 10d6>=5. The interface translates the notation into visible controls so users can verify every rule before rolling.

Keep-highest, keep-lowest, rerolling and exploding dice

Each die maintains its own explosion chain. The calculator first completes rerolls and explosions, then compares the completed chain totals for keep-highest or keep-lowest selection. The total modifier is applied only after the kept chains are added.

Dice roller questions

Can this roll custom-sided dice?

Yes. Enter any whole-number side count from d2 through d1000 and roll up to 100 dice per trial.

Can it calculate D&D advantage and disadvantage?

Yes. The preset buttons configure 2d20 keep-highest-one for advantage and 2d20 keep-lowest-one for disadvantage.

How does the success counter work?

Choose whether success applies to each generated face or to the kept total for an entire trial, then select at least, at most, exactly, or turn success counting off.

Are rolls or history sent to a server?

No. Calculation and session history remain inside the current browser page. Resetting or closing the page clears the displayed history.

Dice Roller and Counter: formula-based step-by-step solution

This Dice Roller and Counter worked derivation uses the published default state. Its live formula panel replaces these values whenever an input, unit, mode, date, material, or scenario changes.

Governing formula or algorithm — exact production relationships:

Trial total = sum of kept die faces + modifier
Expected total for n fair s-sided dice = n × (s + 1) ÷ 2 + modifier
Exact-face probability per generated die = 1 ÷ s
Observed frequency = event count ÷ completed trials

1. Governing formulas and numeric substitution

Formula 1: Trial total = sum of kept die faces + modifier
Default-value substitution: Trial total = sum of kept die faces + (0)
Formula 2: Expected total for n fair s-sided dice = n × (s + 1) ÷ 2 + modifier
Default-value substitution: Expected total for n fair s-sided dice = (1) × (s + 1) ÷ 2 + (0)
Formula 3: Exact-face probability per generated die = 1 ÷ s
Default-value substitution: Exact-face probability per generated die = 1 ÷ s | current data: Dice per trial=2; Sides per die=6; Number of trials=1; Total modifier=0; Keep rule=all; Number kept=1; Exact face to count=6; Success basis=face
Formula 4: Observed frequency = event count ÷ completed trials
Default-value substitution: Observed frequency = event (1) ÷ completed (1)

2. Variables and measurement units used

Dice per trial = 2
Sides per die = 6
Number of trials = 1
Total modifier = 0
Keep rule = all
Number kept = 1
Exact face to count = 6
Success basis = face
Comparison = >=
Success threshold = 5
Maximum explosion chain = 5

3. Dice Roller and Counter final evaluation: this calculator’s production engine evaluates the substituted relationship with unrounded internal precision; its subject-specific result cards, table, and visual report the rounded final answer and verification quantities.

Dice Roller And Counter: formula, steps, units and verification

dice roller and counter is designed for a transparent calculation rather than a black-box answer. Dice Roller And Counter: roll d4-d1000 dice with notation, d20 advantage, keep highest or lowest, rerolls, exploding dice, success counts, modifiers.

How to use the dice roller and counter in 5 steps

Choose the required mode. Select the calculation path that matches the quantity you know and the result you need.

Enter source values. Use measured, documented or assignment values rather than rounded estimates whenever possible.

Confirm every unit. The dice roller and counter converts supported units before formula substitution, so each selector must describe the entered number.

Run the calculation. Review the displayed formula, normalized values and numeric substitution before accepting the final result.

Verify the answer. Reproduce the substitution manually and check whether the output is reasonable for the stated assumptions.

Dice Roller And Counter formula and unit checks

The dice roller and counter keeps source inputs, canonical calculation units and displayed output units separate. This prevents a correct formula from producing a wrong answer because feet were treated as meters, percentages as decimals, or time values as the wrong interval.

For an independent check, copy the formula shown by the calculator, substitute the unrounded canonical values, preserve full precision through intermediate operations and round only the final result. The verified answer should match both the displayed number and its measurement unit.

How to interpret the dice roller and counter result

A result is useful only when its assumptions match the real problem. Compare the answer with expected ranges, inspect any warning or boundary message, and test a nearby input to confirm that the output changes in the direction predicted by the governing relationship.

The dice roller and counter provides an educational and planning result. For regulated, medical, structural, financial, laboratory or safety-critical decisions, verify the inputs and method against the applicable professional requirements before acting.

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Dice Roller And Counter quick verification checklist

Before saving or reporting a result from the dice roller and counter, confirm the input source, unit selections, formula mode, intermediate substitution, final unit and rounding rule. These checks make the calculation reproducible and easier to audit.

Browse the complete published calculator sitemap or return to the Salar Cafe home page.