Monty Hall Problem

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?

The player has an equal chance of initially selecting the car, Goat A, or Goat B. Switching results in a win 2/3 of the time because 2/3 of the time, the player's initial pick was a goat.

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