Sam is testing the effectiveness of a new cough medication. There are 100 people with a cough in the study. Thirty patients received the cough medication, and 70 other
patients did not receive treatment. Seventeen of the patients who received the medication reported no cough at the end of the study. Twenty-eight of the patients who did
not receive medication reported no cough at the end of the study. What is the probability that a patient chosen at random from this study took the medication, given that
they reported no cough?