Majorisation is used to compare discrete distributions in terms of randomness or, equivalently, informativeness. Some properties of measures of randomness are discussed. The effect on degree of ...

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 ...

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 ...

The World Science Festival’s panel on Probability and Risk started out in an unusual manner: MIT’s Josh Tenenbaum strode onto a stage and flipped a coin five times, claiming he was psychically ...

Random numbers, perhaps have different analogues among the humans and machines. Tossing a coin is assumed to be truly random for humans with the uniform distribution and probability of 0.5 to get ...