The Monty Hall Problem

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Remember watching Let's Make A Deal? There's some math to that game show.

The main purpose of Let's Make a Deal is that there are 3 doors. One of them have the promised prize (as it is a game show) while the other two have prizes that the player wouldn't want, like a goat, for example.

(In the show, these are called "zonks".)

The challenge is to guess which door the real prize is behind. After guessing, the host opens a door you didn't pick (it will always contain a zonk), then the player is asked if they want to stick with the door they chose, or they want to try the unoccupied (not chosen or opened) door.

https://www.youtube.com/watch?v=4Lb-6rxZxx0 (Enclavar)