A drug trial is testing the effectiveness of two drugs. If 40 patients are given Drug A, 80 patients are given Drug B, and 20 patients are given a placebo, what is the probability that a patient will receive drug B?
a. 4/7
b. 6/7
c. 3/10
d. 1/5
Add up the total number of patients, put the number of drug B patients over the total number of patients and simplify
so would it be 4/7
To find the probability that a patient will receive drug B, we need to compare the number of patients given Drug B to the total number of patients.
The number of patients given Drug B is 80, while the total number of patients is 40 + 80 + 20 = 140.
Therefore, the probability that a patient will receive drug B is 80/140, which simplifies to 4/7.
So the correct answer is a. 4/7
To find the probability that a patient will receive Drug B, we need to divide the number of patients receiving Drug B by the total number of patients.
Given:
- 40 patients are given Drug A
- 80 patients are given Drug B
- 20 patients are given a placebo
Total number of patients = 40 + 80 + 20 = 140
Probability of receiving Drug B = Number of patients receiving Drug B / Total number of patients
= 80 / 140
= 4/7
Therefore, the correct answer is (a) 4/7.