Artificial intelligence is everywhere. In fact, each reader of this article could have multiple AI apps operating on the very ...

Can you chip in? This year we’ve reached an extraordinary milestone: 1 trillion web pages preserved on the Wayback Machine. This makes us the largest public repository of internet history ever ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...

Explore our campus, meet lecturers and current students, and learn more about what it's like to study at Manchester. We place social responsibility at the heart of your learning which means you can ...

In 1929, a few years prior to his colleague Kolmogorov's Grundbegriffe, the leading Russian probabilist Khinchin published a paper in which he commented on the foundational ambitions of von Mises' ...

Whether you’re a novice bettor or a seasoned veteran, you’ve almost certainly heard of positive expected value betting. After all, there are betting influencers and podcast hosts who talk about the ...

Tabletop games, from the roll of a die in a fantasy role-playing game (RPG) to the strategic placement of cards in a complex board game, are deeply rooted in probability. The comprehension of the ...

Life is uncertain. None of us know what is going to happen. We know little of what has happened in the past or is happening now outside our immediate experience. Uncertainty has been called the ...

Sometimes your gut feelings lead you astray—particularly in mathematics, in which one constantly comes across results that seem impossible. For example, infinity does not always equal infinity, and ...

Probability Distribution Notes: Probability is a fundamental aspect of mathematics that helps us understand and quantify uncertainty. Mastery of this subject is essential for students, as it has ...