Question

A doctor has decided to prescribe two new drugs to 200 heart patients as follows: 50 get
drug A, 50 get drug B, and 100 get both. The 200 patients were chosen so that each had an
80 percent chance of having a heart attack if given neither drug. Drug A reduces the prob-
ability of a heart attack by 35 percent, drug B reduces the probability by 20 percent, and
the two drugs, when taken together, work independently. If a randomly selected patient
in the program has a heart attack, what is the probability that the patient was given both
drugs?​

Answer 1

Answer:

0.5

Step-by-step explanation:

Total number of patients, i.e., total number of outcomes = 200

Total number of patients who were given both the drugs, i.e., total number of favourable outcomes = 100

If one of them has a heart attack, probability that the patient was given both the drugs is = 100/200 = 1/2 = 0.5

Thus the required probability is 0.5.

Hope it is helpful!!!