MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability
Problem
At a university, 30% of the students live in the hostel and 20% are scholarship holders. Among scholarship holders, 40% live in the hostel.
(i) Find the probability that a randomly chosen student both lives in the hostel and is a scholarship holder.
(ii) Determine the probability that a scholarship holder does not live in the hostel.
(iii) Calculate the probability that a student lives in the hostel given that the student is not a scholarship holder.