Lesson 1 of 4
Monty Hall problem
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4 lessons · Novice
About this study
“Monty Hall problem” is a free, 4-lesson study at novice, created with soclever, a personal AI teacher. Each lesson takes a few minutes and ends with a check-in question; finish the curriculum and you can take a certificate test to earn a diploma. Starting is free once you sign in — or generate your own study on any topic.
What you'll learn
- The Monty Hall Problem Setup. Most people think that when you pick a door at the start of this game, your odds are one in three—and that's correct. But here's where almost everyone goes wrong: they think those…
- Why Switching Wins. Most people feel certain that switching doors after the host opens one shouldn't matter — that staying or switching are equally likely to win. That's wrong, and it costs you money…
- Conditional Probability in Monty Hall. You pick a door in a three-door game. The prize is behind one door, and two doors hide nothing. Your odds of being right are one in three—that's straightforward. But then the…
Questions this study answers
- Before Monty opens any door, what is the probability that the car is behind one of the two doors you didn't pick?
- Why does the host opening an empty door change the odds in favor of switching, when your original choice was already made?
- Why does the unopened door the host left standing have better odds than your original choice?
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