Veritasium makes educational video’s, mostly about science, and recently they recorded one offering an intuitive explanation of Bayes’ Theorem. They guide the viewer through Bayes’ thought process coming up with the theory, explain its workings, but also acknowledge some of the issues when applying Bayesian statistics in society.
“The thing we forget in Bayes’ Theorem is that our actions play a role in determining outcomes, in determining how true things actually are.” 8.23
“A really good understanding of Bayes’ Theorem implies that experimentation is essential: if you’ve been doing the same thing for a long time and getting the same result – that you’re not necessarily happy with – maybe it’s time to change.” 8.48
The video, see below, lasts around 9 minutes.