Bayes’ Theorem – Example: A disjoint union

In this video we work through a Bayes’s Theorem example where the sample space is divided into two disjoint regions, and how to apply Bayes’ Theorem in such a situation. This example of a “two bucket” Bayes’ theorem problem can be extended to 3 or more buckets. Most “real world” examples don’t involve literal buckets like this problem, but a division into two categories such as “vaccinated” vs “unvaccinated”.

The formula: P(B1|A) = P(A|B1)P(B1)/(P(A|B1)P(B1) + P(A|B2)P(B2)

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