If you have AA and your opponent has KK then your chances of winning pre-flop are about 88%.

Once that flop goes down with a king in it, your chances are now around 10%.

If the "quizmaster" turns his cards over once that flop is down, I am not going to pursue my aces further given the option.

In practice, the player does not know he is beat on the flop to a 90:10 extent, so will lose all their money.

When picking the original door, you don't know if you are correct or not. Quizmaster knows, but by opening a door to reveal a goat only makes you realise that one of "his outs" is eliminated but it doesn't help you because there was always a goat door for him to open anyways!. If he was able to make the same choice as you (ie accidentally pick the car door) then your chances have increased because he's made the mistake for you in picking a goat door.