Here's an old one to think over:
You're on a game show and you must choose one of three doors.
You win the prize behind the door of your choosing; behind 1 of the doors is a car, behind the other two are goats.
You choose a door, the game show host (knowing where the car and goats are) then helps you out by opening one of the doors and showing you a goat - he must always show you a goat, it's the rule of the show!
You now have 2 doors remaining, your chosen door and the last remaining door.
The host asks you if you would like to switch your chosen door.
Would you switch or not and why?
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