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18 Jan 12:06 AM

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As I was reading a book this morning, I came across this interesting story of probability problem.
One called Monty Hall was an emcee in the American television game show "Let's Make a Deal" in which he would make challengers to choose one of three doors.
Behind one of them is a new car, and behind each of other two a goat.
If a contestant choose the door of the car, he can win it.
After the challenger makes his decision, Monty Hall would open one of other doors, behind which is always a goat.
Then Monty Hall would ask him if he wants to change his choice.
The problem is: if the challenger changes his mind, his probability of winning a car will change?
My instinct suggests that the probability never change, but the fact is that switching door makes the chance of winning twice as much as the case of not switching.
I loved the probability in math class when I was at school.
Yet, I couldn't begin to understand this even after reading the page of Monty Hall problem on Wikipedia.
does this sound natural?

It's rather long.
I will be happy if you kindly correct one of these sentences.
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