Paradox of Probability Theory
· 7 min read
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.
