where $l$ and $u$ are the lower and upper probability bounds, while $\phi$ and $\psi$ denote propositional logic formulas. For example the following two sentences ...

Watching a child learn how to swim is like witnessing a great opera. The maestro of this emotional orchestra is Bill Marsh. Swimming is the closest human beings will ever get to flying. And there is ...

Physicists have derived a quantum version of Bayes’ rule, revealing how beliefs and probabilities update in the quantum realm with potential applications in computing and beyond. Credit: Shutterstock ...

The odds of the U.S. economy slipping into a recession have grown in recent months, according to global financial services company UBS. In an analysis cited by Fortune, the global financial services ...

This article was originally published at The Conversation. The publication contributed the article to Space.com's Expert Voices: Op-Ed & Insights I was preparing for my early morning class back in ...

A recent Delaware Chancery Court opinion offers a significant example of how courts may apply complex probability analysis to determine the amount of damages in an earnout dispute. The case arose from ...

Forbes contributors publish independent expert analyses and insights. Greg Licholai writes and teaches about innovation in healthcare. In a move that could dramatically reshape the landscape for rare ...

My wife and I like to travel to other countries, but we always face a familiar obstacle -- how to learn the language well enough to converse with people. We've tried taking language lessons, yet we ...

Forbes contributors publish independent expert analyses and insights. Writes about the future of finance and technology, follow for more. Joint probability teaches us to calculate combined outcomes.