A game-show host has placed a car behind one of three doors There is a goat behind each of the other doors First you point toward a door he says Then I'll open one of the other doors to reveal?

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the answer is switch because when you first pick you have a 1/3 chance of getting the car and a 2/3 chance of picking a goat, when the host opens up one of the other doors with a goat there is now a 2/3 chance that the car is in the other door you did not pick. if you run through the possibilities you will see: lets say you always pick door number one so 1. goat 2 car 3 goat ....... 1 car 2 goat 3 goat .... 1 goat 2 goat 3 car... you can see that twice out of three times you will get the car by switching
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What is behind the green glass door?

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In the three door game why do you first have a 33 percent chance of guessing the correct door but after the host opens one of the doors do you have a 66 percent not a 50 percent chance?

This is a very famous problem in probability and the answer goes against the intuition of most people including mathematicians.. So picture 3 doors and a prize behind 1 of th