this post was submitted on 19 Nov 2023
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OK guys, put on your maths brains as mine is going ๐ต
I watched the movie 21 yesterday and one of the opening scenes is a seemingly simple probability question.
"It's a game show and there are 3 doors. Behind 2 of the doors are goats, behind 1 is a car. A lecturer acting as a game show host asks a student to choose from 3 doors. They choose door number 1. The host opens door 3 , reveals a goat, then asks the contestant if they want to keep door 1 as their choice. The student , acting as contestant says he will go with door 2 as his odds just went from 33% to 66%.
Here's where my brain went ๐ต.
Aren't the choosing of doors two separate events? And don't the odds go from 33% to 50%? How is it 66%?
https://www.youtube.com/watch?v=CYyUuIXzGgI