Probability

The mathematician Daniel Litt has driven social media users to distraction with a series of simple-seeming but counterintuitive probability puzzles.

The French mathematician spent decades developing a set of tools now widely used for taming random processes.

Four mathematicians have estimated the chances that there’s a clear path through a random maze.

If Anna beats Benji in a game and Benji beats Carl, will Anna beat Carl?

Just as ice melts to water, graphs undergo phase transitions. Two mathematicians showed that they can pinpoint such transitions by examining only local structure.

Mathematicians have uncovered a surprising wealth of rock-paper-scissors-like patterns in randomly chosen dice.

Mathematicians are taking ideas developed to study random numbers and applying them to a broad range of categories.

What makes a proof stronger than a guess? What does evidence look like in the realm of mathematical abstraction? Hear the mathematician Melanie Matchett Wood explain how probability helps to guide number theorists toward certainty.

Two young mathematicians have astonished their colleagues with a full proof of the Kahn-Kalai conjecture — a sweeping statement about how structure emerges in random sets and graphs.