This Simple Puzzle Tricks Mathematicians -- Monty Hall Problem in 5 Levels

In an "Ask Marilyn" column, Marilyn vos Savant correctly solved the puzzle now known as the Monty Hall Problem. Around 10,000 people wrote in to say she was wrong, including many mathematicians! Researchers have even found that pigeons tend to learn the optimal strategy faster than humans during repeated trials. Let's explore the Monty Hall problem in 5 levels, from simulations of the game through a complete solution with conditional probabilities. 00:00 Introduction 00:33 The Puzzle and Simulations 01:50 'Simple Solution' 03:10 The 10 Doors Game 04:19 The Unequal Doors Game 05:40 Conditional Probability Solution