Question

Imagine that you are taking part in a study to test a new cold medicine. Although you don't know exactly what drug you are taking, the probability that it is drug A is 30%, that it is drug B is 10%, and that it is drug C, 60%. From past clinical trials, the probabilities that these drugs will improve your condition are: A 20%, B 50% and C 70%
What is the probability that you will improve given that you are taking drug A?
What is the probability that you will improve given that you are taking drug C?

Answer 1

Step-by-step explanation:

Step 1 of 3

Suppose, A is the event that person A wrote the exam.

Suppose, B is the event that person B wrote the exam.

Suppose, C is the event that person U wrote the exam.

Therefore,

Now, if D is the event that there is a question on the international relations.

Therefore, probability that question on the international relations is by person U is

The probability that question on the international relations is by person B is

The probability that question on the international relations is by person A is