# 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?

https://brainmass.com/statistics/probability/probability-28742

#### 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?