Algorithmic randomness and computability theory inhabit a crossroads between mathematics and computer science, providing a rigorous framework for understanding randomness in infinite sequences and ...

Finding π using random numbers and probability. This short demonstrates a Monte Carlo approach, showing how randomness and statistics can converge to an accurate estimate of pi through repeated trials ...

What happened when a gambler asked for help from a mathematician? The formal study of Probability. Infinite Series is available to stream on pbs.org and the free PBS App, available on iPhone, Apple TV ...

Here’s a deceptively simple exercise: Come up with a random phone number. Seven digits in a sequence, chosen so that every digit is equally likely, and so that your choice of one digit doesn’t affect ...

Humans are not terribly good at accurately assessing probability and dealing with randomness. This may stem from these skills having little evolutionary value. We exhibit hindsight and confirmation ...

CC0 Usage Conditions ApplyClick for more information. From coin flips to river levels to the placement of freckles, many events appear random at first glance—but dig a little deeper, and limits to the ...

It’s great to see the enthusiastic reader response to our first Insights puzzle. The puzzle has a deeply counterintuitive solution and raises philosophical questions about randomness and information.