the situation being proposed is: there are 3 doors, behind 2 of them are goats the other has a new car. you (trying to get the car) pick a door, the host stops you and opens a different door. behind that door is a goat. they then ask you "do you switch your answer".
the question: what are the odds of getting that car if you switch vs. not switching.
the problem: everyone i've asked has said its a 50% chance either way, but the answer is actually 2/3 if you switch. why? I have no idea but I built a simulation so you can answer that yourself!