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**helpwithassgn** The original problem is that there are three doors (2 with goats and 1 with a car behind it). A person chooses one of the three doors then the host picks another with a goat behind it. The person can then choose to pick the other unopened door or stick with his initial choice.

I am given an extension of this problem and I need help with it.

So the question is there are N doors, C cars, D doors that are opened, and G goats where G = N-C

Now I need to find

the probability that the person wins the car given he switches and

the probability that he wins the car given he does not switch

I am not quite sure how to do this. I think Bayes theorem is needed, but I don't know what to do.