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.

Explanation

To solve the problem step by step, we will use the given information about the students opting for NCC and NSS.

### Step 1: Define the Events
Let:
- \( N \) = Total number of students = 60
- \( A \) = Students who opted for NCC = 30
- \( B \) = Students who opted for NSS = 32
- \( A \cap B \) = Students who opted for both NCC and NSS = 24
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