For teachers and bloggers

Embed the explorers

Each of the lab's eight distribution explorers can sit on your own page: a course site, a blog post, a learning platform. Your readers move the sliders and see the chart and the answer change, without leaving your page. It is free and needs no account.

How to embed an explorer

Open the explorer and set it up the way your readers should first see it: the parameters, the question and the chart.
Press “Embed this”, choose the language and the theme, and copy the HTML.
Paste it wherever your site accepts HTML: an HTML block in WordPress, an embed or HTML block in Moodle or Canvas, or straight into a page.

Or copy one of the snippets below, which open each explorer with its standard set-up.

Language, theme and size

In the address, lang=en, nl, pl or de sets the language (English if left out) and theme=light or dark the colours (light if left out). The frame takes the width you give it, down to a phone's 320 pixels; at a height of 680 pixels the parameters, the chart and the answer fit on a laptop without scrolling.

Privacy and the link back

An embed sets no cookies and stores nothing on your readers' devices. The lab counts anonymous page views on its server, including the name of the site an embed is shown on; IP addresses are not stored. Each embed has a small link to the full explorer in the lab, which opens in a new tab.

The eight explorers

The discrete uniform distribution

Every whole number from a to b equally likely: a fair die, or a bookshop's daily sales.

Open the explorer HTML for The discrete uniform distribution

<iframe src="https://probability-lab.azurewebsites.net/embed/explore/discrete-uniform?a=1&amp;b=6&amp;ask=atleast&amp;x=5&amp;lang=en&amp;theme=light" width="100%" height="680" style="border:0" loading="lazy" title="The discrete uniform distribution · Introduction to Probability Lab"></iframe>

The continuous uniform distribution

Any value between a and b equally likely: a probability is a length divided by the width.

Open the explorer HTML for The continuous uniform distribution

<iframe src="https://probability-lab.azurewebsites.net/embed/explore/continuous-uniform?a=0&amp;b=1&amp;ask=atmost&amp;x=0.25&amp;lang=en&amp;theme=light" width="100%" height="680" style="border:0" loading="lazy" title="The continuous uniform distribution · Introduction to Probability Lab"></iframe>

The binomial distribution

Successes in n independent trials, each with probability p: move n and p and watch the bars.

Open the explorer HTML for The binomial distribution

<iframe src="https://probability-lab.azurewebsites.net/embed/explore/binomial?n=10&amp;p=0.5&amp;ask=atmost&amp;x=3&amp;lang=en&amp;theme=light" width="100%" height="680" style="border:0" loading="lazy" title="The binomial distribution · Introduction to Probability Lab"></iframe>

The Poisson distribution

Counts of events in an interval at an average rate λ: calls per hour, defects per batch.

Open the explorer HTML for The Poisson distribution

<iframe src="https://probability-lab.azurewebsites.net/embed/explore/poisson?lambda=4&amp;ask=atmost&amp;x=3&amp;lang=en&amp;theme=light" width="100%" height="680" style="border:0" loading="lazy" title="The Poisson distribution · Introduction to Probability Lab"></iframe>

The normal distribution

Measurements around a mean μ with spread σ: a probability is an area under the bell.

Open the explorer HTML for The normal distribution

<iframe src="https://probability-lab.azurewebsites.net/embed/explore/normal?mu=0&amp;sigma=1&amp;ask=atmost&amp;x=1.96&amp;lang=en&amp;theme=light" width="100%" height="680" style="border:0" loading="lazy" title="The normal distribution · Introduction to Probability Lab"></iframe>

The exponential distribution

Waiting times between events at rate λ: memoryless, with a long right tail.

Open the explorer HTML for The exponential distribution

<iframe src="https://probability-lab.azurewebsites.net/embed/explore/exponential?lambda=1&amp;ask=atmost&amp;x=1&amp;lang=en&amp;theme=light" width="100%" height="680" style="border:0" loading="lazy" title="The exponential distribution · Introduction to Probability Lab"></iframe>

Student's t distribution

The normal's heavier-tailed cousin, for a mean judged from a small sample.

Open the explorer HTML for Student's t distribution

<iframe src="https://probability-lab.azurewebsites.net/embed/explore/student-t?df=5&amp;ask=morethan&amp;x=2&amp;lang=en&amp;theme=light" width="100%" height="680" style="border:0" loading="lazy" title="Student's t distribution · Introduction to Probability Lab"></iframe>

The chi-square distribution

The sum of k squared standard normals: the building block of Student's t.

Open the explorer HTML for The chi-square distribution

<iframe src="https://probability-lab.azurewebsites.net/embed/explore/chi-square?df=4&amp;ask=atmost&amp;x=4&amp;lang=en&amp;theme=light" width="100%" height="680" style="border:0" loading="lazy" title="The chi-square distribution · Introduction to Probability Lab"></iframe>