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2024-08-01 16:54:46

alashazam on Nostr: The Monty Hall problem: There are 3 doors. Behind one door is a car (the prize), and ...

The Monty Hall problem:

There are 3 doors.
Behind one door is a car (the prize), and behind the other two are goats.

You pick one door.

The host, who knows what's behind the doors, opens another door, which has a goat.

The host then asks if you want to stick with your original choice or switch to the remaining unopened door.

Optimal Strategy: You should always switch. When you first pick a door, there's a 1/3 chance you chose the car and a 2/3 chance you chose a goat.
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