Statement 1-
There is 5 even numbers and 1 odd number

There can be 0,1 or 2 prime numbers

Insufficient

Statement 2-
There are 2 prime numbers; we will have at least 1 odd number

Insufficient

Combining both statements
We have 2 prime numbers (one odd and one even) and we have only 1 odd number, which is prime too.

Sufficient

As we don't know which distinct numbers are in the set, to know the possibility of the number being odd or prime we need to know more about which numbers are in the set i.e. the range.

Statement 1:
The probability of the number being odd is 1/6.
This doesn't tell us anything about the probability of the number being prime. There are many odd numbers that are prime.

Statement 2:
The probability of the number being prime is 1/3.
This tell us that most of the numbers are odd, except the number two which is prime and even. So there are still multiple outcomes.

Both statements together gives us the information we need to solve the probability for odd or prime.

C IMO