Iift 2008 Question 50
This is a detailed step-by-step solution for Iift 2008 Question 50. Understand the concept, common mistakes, and expert tips to solve similar questions in IIFT exam.
IIFT 2008
Explanation:
1 person in every 100 suffers from the disease.
Probability of a person being healthy = 99/100
In a group of 50 people if the test is positive, then he could then test each person’s blood individually otherwise he will consider that the entire group is healthy
The number of tests =50+1 = 51
The probability that all the people in the group are healthy = 50C50 x (99/100)50
= approx 0.605
So the probability that at-least one person suffers in a group of 50 = 1-0.605= 0.395
Expected number of tests = 51*0.395 + 0.605*1
= 20.145+0.605
=20.75 = 21 tests.
C is the correct answer.