Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. He then says to you, "Do you want to pick door No. 2?" Is it to your advantage to switch your choice?
Ans:
| Behind door 1 | Behind door 2 | Behind door 3 | Result if staying at door #1 | Result if switching to the door offered |
|---|
| Car | Goat | Goat | Wins Car | Wins Goat |
| Goat | Car | Goat | Wins Goat | Wins Car |
| Goat | Goat | Car | Wins Goat | Wins Car |
So chances of winning are greater if you switch your choice.
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