You are on a game show and you have 3 identical doors.
Behind one door is a car.
Behind each of the other two is a goat.
You want to pick the door with the car but you don't know which one it is.
Once you pick a door, the host will flip a coin.
If you picked a car, the host will always ask if you want to switch.
If you picked a goat and the coin lands heads, the host will ask if you want to switch.
If you picked a goat and the coin lands tails, the host will simply reveal your goat and you lose.
So you picked a door and the host asks if you want to switch.
Should you switch?
Behind one door is a car.
Behind each of the other two is a goat.
You want to pick the door with the car but you don't know which one it is.
Once you pick a door, the host will flip a coin.
If you picked a car, the host will always ask if you want to switch.
If you picked a goat and the coin lands heads, the host will ask if you want to switch.
If you picked a goat and the coin lands tails, the host will simply reveal your goat and you lose.
So you picked a door and the host asks if you want to switch.
Should you switch?