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# probability

## Latest Articles

### Maze Proof Establishes a ‘Backbone’ for Statistical Mechanics

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

### The Surprisingly Simple Math Behind Puzzling Matchups

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

### A Close-Up View Reveals the ‘Melting’ Point of an Infinite Graph

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 Roll Dice and Get Rock-Paper-Scissors

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

### Probability and Number Theory Collide — in a Moment

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

### How Do Mathematicians Know Their Proofs Are Correct?

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.

### Elegant Six-Page Proof Reveals the Emergence of Random Structure

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.

### Neural Noise Shows the Uncertainty of Our Memories

The electrical chatter of our working memories reflects our uncertainty about their contents.

### Mathematicians Answer Old Question About Odd Graphs

A pair of mathematicians solved a legendary question about the proportion of vertices in a graph with an odd number of connections.