Paradox of Probability Theory
TLDR
This article explores three fascinating paradoxes in probability theory that challenge our intuitive understanding. First, we examine the Monty Hall Problem, which demonstrates how switching doors in a game show can counter-intuitively double your chances of winning. Next, we look at the Inspection Paradox through a medical testing scenario, showing how a highly accurate test can still lead to misleading conclusions when base rates are considered. Finally, we investigate Simpson's Paradox using a hospital comparison case, revealing how aggregated statistics can sometimes paint a completely different picture than when examining individual components.