We know,
Probability of occurrence of an event = (Total number of favorable outcomes) / (Total number of outcomes)
Total outcomes are 1, 2, 3, 4, 5, 6.
Total number of outcomes = 6
(i) getting a 5
Total number of desired outcomes i.e. getting 5 = 1
Probability (getting a 5) = 1/6
(ii) getting a 2 or a 3
Total number of desired outcomes i.e. getting 2 or 3 = 2
Probability (getting 2 or 3) = 2/6 = 1/3
(iii) getting an odd number
Total number of desired outcomes i.e. an odd number = 1, 3, 5 = 3
Probability (getting an odd number) = 3/6 = 1/2
(iv) getting a prime number
Total number of desired outcomes i.e. prime number = 2, 3, 5 = 3
Probability (getting a prime number) = 3/6 = 1/2
(v) getting a multiple of 3
Multiple of 3 = 3, 6
Total number of desired outcomes = 2
Probability (getting a multiple of 3) = 2/6 = 1/3
(vi) getting a number between 3 and 6
Number between 3 and 6 = 4, 5
Total number of desired outcomes = 2
Probability (getting a number between 3 and 6) = 2/6 = 1/3