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For the choose best candidate/secretary problem, we know the chance of selecting the best candidate for n candidate is (n-1)/(n*e) , how do you get

For the choose best candidate/secretary problem, we know the chance of selecting the best candidate for n candidate is (n-1)/(n*e) , how do you get the general equation for n candidate for selecting the WORST candidate? Also how do get the general equation for best AND second best equation?

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