Q:

Bobby is testing the effectiveness of a new cough medication. There are 100 with a cough in the study. Seventy patients received the cough medication, and 30 other patients did not receive treatment. Thirty-four of the patients who received the medication reported no cough at the end of the study. Twenty of the patients who did not receive medication reported no cough at the end of the study. What is the probability that a patiebt chosen at random from this study took the medication, given that they reported no cough? A. 63% B. 53%C. 38% D. 43%

Accepted Solution

A:
There are a total of 54 who reported no cough after the medication. Out of this 54 patients, 34 took the medication. Therefore, the required probability is 

     [tex]=\frac{34}{54}=63\%[/tex]

The probability that a patient chosen at random from this study took the medication, given that they reported no cough is 63%.