Question

Of the students in the college, 60% of the students reside in the hostel and 40% of the students are day scholars. Previous year result reports that 30% of all students who stay in the hostel scored A Grade and 20% of day scholars scored A grade. At the end of the year, one student is chosen at random and found that he/she has an A grade. What is the probability that the student is a hostlier? ​

Answer 1

Explanation:

Answer 2

the probability that the student is a hostlier is 0.6923

Explanation:

The computation of the probability that the student is a hostlier is shown below

= (0.60 × 0.30) ÷ (0.60 × 0.30) + (0.40 × 0.20)

= (0.18) ÷ (0.18 + 0.8)

= (0.18) ÷ (0.26)

= 0.6923

Hence the probability that the student is a hostlier is 0.6923