Colby is testing the effectiveness of a new allergy medication. There are 100 people with allergies in the study. Sixty-two patients received the allergy medication, and 38 other patients did not receive treatment. Fifty of the patients who received the medication reported no allergies at the end of the study. Twenty of the patients who did not receive medication reported no allergies 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 allergies?

Question

Mathematics

Alyvia Rush

11 March, 09:09

Colby is testing the effectiveness of a new allergy medication. There are 100 people with allergies in the study. Sixty-two patients received the allergy medication, and 38 other patients did not receive treatment. Fifty of the patients who received the medication reported no allergies at the end of the study. Twenty of the patients who did not receive medication reported no allergies 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 allergies?

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Xander Wolf · Answer 1

Simply put, since we are * given * that the person reported no allergy, the group of interest is 50 medicated and 20 non-medicated

indicated Pr is thus = 50/70 = 5/7, 71% to nearest %