The way he presented it there's a 50% chance that opening another door reveals a goat. I've of the other doors will always contain a goat The key piece of in

The way he presented it there's a 50% chance that opening another door reveals a goat. I've of the other doors will always contain a goat The key piece of information that is merely implied by the Monty Hall problem but not explicitly defined is that the host knows which door is the winning door and deliberately opened a losing door. If the host does this purposefully then you should switch your answer because two thirds of the time you will have chosen a goat and the host will be forced to reveal the other losing door. However if the host has opened a door at random and it happens to reveal a goat then changing your answer will not improve your odds. There is a 50% chance that the remaining door is a goat rather than a two thirds chance. He could have just as easily revealed the prize. Explained in this way the Monty Hall problem is not confusing. The wording is what was confusing.