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.
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.