"But you'll still get 2/3.". No you don't, you get a 1/2. If you consider only those cases where Monty reveals a goat (and discard those where he reveals the ca

"But you'll still get 2/3.". No you don't, you get a 1/2. If you consider only those cases where Monty reveals a goat (and discard those where he reveals the car) then 50% of the time you've already picked the car