Should defendants be convicted based on merely statistical evidence? To what extent are individuals responsible for group harms? Can voting in a non-swing state be justified? Are cosmological theories ...

The color wheel does the heavy lifting where color theory is concerned — and looks great while doing it, too! Believe it or not, it dates all the way back to Sir Isaac Newton‘s work on color and light ...

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' ...

When is it appropriate to completely reinvent the wheel? To an outsider, that seems to happen a lot in category theory, and probability theory isn’t spared from this treatment. We’ve had a useful ...

Information theory is essentially a subarea of probability theory. So in the next couple of sections, we'll learn more about probability. As is our approach in this course, we'll go beyond what is ...

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Probability is a fundamental concept in statistics and mathematics, often used to predict the likelihood of an event occurring. Calculating probability is crucial for many sectors, such as finance, ...

Abstract: Background:We may ask a number of questions about the nature of the relationship between geometry and probability. However, are both mathematical frameworks of any use at all in order to ...

ABSTRACT: Consider performing a sequence of Bernoulli trials (each resulting in either a success, denoted S, or a failure F, with a probability of p and q := 1 - p respectively) until one of m ...