New lie-detector test has been devised and must be tested before it is put into use. One hundred people are selected at random, and each person draws and keeps a card from a box of 100 cards. Half the cards instruct the person to lie and the others instruct the person to tell the truth. Of those who lied, 90% fail the new lie-detector test (that is the test indicated lying). Of those who told the truth, 4% 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?