Monty Hall Problem. If host open door before the player choose a door.
What happened if in the Monty Hall problem the host open a door with goat (he knows the door without prize) before the player pick a door. There will be 1/2 of probability of success or 2/3 as the original problem?
1 successful outcome over 2 possible equally likely outcomes gives a probability of $\frac{1}{2}.$