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Probability

Subject: Probability
Details: You appear on a game show and for your prize the host lets you choose one of three doors. Behind one door is a new car; behind each of the other doors is a goat. You choose a door. The host, who knows what's behind each door, then opens another door, which has a goat. He then asks if you want to pick the remaining door. If you switch you choice of doors, what is the porbability of getting the door with the new car?

Solution Preview

This is a classic question. And you should change the door.
Because at first, you choose randomly and the probability of winning is 1/3, which isn't changed over ...

Solution Summary

You appear on a game show and for your prize the host lets you choose one of three doors. Behind one door is a new car; behind each of the other doors is a goat. You choose a door. The host, who knows what's behind each door, then opens another door, which has a goat. He then asks if you want to pick the remaining door. If you switch you choice of doors, what is the probability of getting the door with the new car?

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