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?