You participate in a game show, and in the final contest the host presents you with three doors. Behind one door is one million dollars. The other two hide sacks of potatoes.
The host asks you to choose one door. After you have done so, the host will open one door - always one of the doors you didn't choose, and always one hiding a sack of potatoes.
Now there are only two doors left - the one you've chosen, and one more. The host asks you:
"Do you want to switch doors?"
What should you do to maximise your chances of getting the million dollars?
Related puzzles: Three pearls in three lockers