paradox · doors
Monty Hall
Should you switch doors when Monty offers?
Monty offers a switch. Do you take it?
Pick a door.
Your door
The other door
0Your games
0%Your stays that won
0%Your switches that won
0Games in the last run
0%Stay wins in that run
0%Switch wins in that run
The car is equally likely behind any door, and you pick one.
The usual host knows where the car is and always opens a different door with a goat.
Switching wins when your first pick was a goat. With 3 doors that is two times out of three. With 100 doors it is 99 times out of 100. A random host, only in the 3-door game, sometimes reveals the car, and those deals are left out of the score.