UPSKILL MATH PLUS

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In a class of \(50\) students, \(28\) opted for NCC, \(30\) opted for NSS and \(18\) opted both NCC and NSS. One of the students is selected at random.
 
Find the probability that:
 
(i) The student opted for NCC but not NSS \(=\) ii
 
(ii) The student opted for NSS but not NCC \(=\) ii
 
(iii) The student opted for exactly one of them \(=\) ii
 
[Note: Enter numerator and denominator in simplified form.]