probability theory

Here's an introduction and some examples.

How can we get a grip on the uncertainties in mathematical models?

Take a quick trip to the foundations of probability theory.

Randomness is surprisingly hard to define. Fortunately the mathematical language we use to describe it is beautifully well defined.

The second guiding principle in probability theory is more subtle – universality.

Symmetry is one of the two guiding principles in understanding probabilities – if different outcomes are equivalent they should have the same probability.

If you're bored with the average, then move on to the variance!

The practice of overbooking has made uncomfortable headlines lately. But how do airlines decide how many tickets to sell for a flight? Here's the maths.