Is this good for educators?

Yes — this version of "Dice Probability for a click-through rate" is framed for educators teaching it to a class. Drop a live demo into a lecture or assign it as a shareable link — no lab installs.

Do I need to install anything?

No. It runs in any modern browser, free, with no account required.

For Educators · Dice Probability

Dice Probability for a click-through rate

Built for educators teaching it to a class. Drop a live demo into a lecture or assign it as a shareable link — no lab installs. Simulate a click-through rate live below — adjust the inputs and watch it respond, right in your browser.

Dice ProbabilityLive

the shape of chance

Controls

Presets

Number of dice

Sides per die

Target sum

Roll one die and every outcome is equally likely — a flat distribution. Roll several and sum them, and the shape becomes a bell: middle sums have many combinations, extremes have few. This is the central limit theorem in miniature, and why 7 is the most common roll of two dice and the heart of the game of craps.

▶ Run in Python

Data Inspector

P(sum = target)16.67%

Most likely sum7

Combinations36

Governing equation

E [sum] = \frac{n ( d + 1 )}{2} = \frac{2 ( 6 + 1 )}{2} = 7.0

Reading this result: Your target sits right at the peak: sums near the mean of 7 have the most combinations while the extremes have just one each — the central limit theorem in miniature.

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Frequently asked questions

Is this good for educators?: Yes — this version of "Dice Probability for a click-through rate" is framed for educators teaching it to a class. Drop a live demo into a lecture or assign it as a shareable link — no lab installs.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.