Question 45 of 55intermediate🔧 ApplyShort Answer3 marks
In a class of 60 students, 30 opted for NCC, 32 opted for NSS and 24 opted for both NCC and NSS. If one of these students is selected at random, find the probability that (i) The student opted for NCC or NSS. (ii) The student has opted neither NCC nor NSS. (iii) The student has opted NSS but not NCC.
(i)
Answer
19/30
(ii)
Answer
11/30
(iii)
Answer
2/15
Explanation
This question tests the application of set theory concepts in probability. Students need to understand that 'NCC or NSS' means the union of two sets, 'neither' means the complement of the union, and 'NSS but not NCC' means the difference of sets. The key formula used is n(A ∪ B) = n(A) + n(B) - n(A ∩ B) for finding the number of students in the union of two sets.