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A newlie-detector test has been devised and must be tested before it is put into use.

A new​ lie-detector test has been devised and must be tested before it is put into use. Two hundred


Two hundred people are selected at​ random, and each person draws and keeps a card from a box of 200


200 cards. Half the cards instruct the person to lie and the others instruct the person to tell the truth. Of those who​ lied, 90


90​% fail the new​ lie-detector test​ (that is the test indicated​ lying). Of those who told the​ truth, 5


5​% failed the test. What is the probability that a randomly chosen subject will have lied given that the subject failed the​ test? That the subject will not have lied given that the subject failed the​ test?

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