Transcribed

## Let's Solve the Monty Hall Problem

LET'S SOLVE T NHE MONTY HALL PROBLEM Beind one door is a brand new car, the others have goats You can choose any one of three doors You choose door number one You have a 33.3% chance of winning You have a 66.6% chance of losing Monty reveals a goat behind door number two 33.3% 66.6% Monty asks if you want to change your original choice 33.3% 66.6% YES! At the beginning, your chance of winning a car was 33.3%, the other two doors had a combined chance of 66.6%. By switching to the other unopened door, you are simply continuing to open the second of the two doors in the 66.6% group. In other words, it would be like Monty asked you to choose two doors at the beginning of the game, instead of one. Don't believe me? Here's the proof... choose door #1 choose door #1 choose door #1 3 reveal reveal reveal change change change choose door #2 choose door #2 choose door #2 3 reveal reveal reveal change change change choose door #3 choose door #3 choose door #3 reveal reveal reveal 3 change change change lewayotte.com

# Let's Solve the Monty Hall Problem

shared by lewayotte on Oct 21
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Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say number 1, and the host, who knows what's behind the ...

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Lew Ayotte

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