We live in a world where a lot of things seem to happen by pure chance, from winning the Lotto to losing your car keys. But the truth is, the likelihood of many everyday things happening is heavily ...

Find quick revision notes of unit Probability and the Binomial Theorem. This includes chapters- Binomial Theorem, Permutation and Combination, and Probability. This quick revision notes is very ...

How likely you think something is to happen depends on what you already believe about the circumstances. That is the simple concept behind Bayes’ rule, an approach to calculating probabilities, first ...

There’s been much debate about lateral flow tests – their accuracy depends on context and the theories of a 18th-century cleric Maths quiz. If you get a positive result on a Covid test that only gives ...

Before ChatGPT could write essays, explain tax code, or summarize earnings reports, it had to master something far simpler but no less profound: probability. While headlines may credit “artificial ...

Evidence can modify our beliefs, but the impact it has depends upon those beliefs. An 18th century priest has something to say about that, in what could be seen as a mathematical formulation of the ...

Having a strong opinion about an issue can make it hard to take in new information about it, or to consider other options when they’re presented. Thankfully, there’s an old rule that can help us avoid ...

Explain why probability is important to statistics and data science. See the relationship between conditional and independent events in a statistical experiment. Calculate the expectation and variance ...

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 ...