Use you brain. Please use it.
Looks like the PMF is supposed to be

which is kinda weird, but it's not entirely clear what you meant...
Anyway, assuming the PMF above, for this to be a valid PMF, we need the probabilities of all events to sum to 1:

Next,





If

, then

, where we take the positive root because we know

can only take on positive values, namely 1, 2, and 5. Correspondingly, we know that

can take on the values

,

, and

. At these values of

, we would have the same probability as we did for the respective value of

. That is,

Part (5) is incomplete, so I'll stop here.
Firstly I would revert these back to improper fractions:
So 17/6 ÷ 24/5
Then I would use keep, change, flip
So 17/6 * 5/24
Finally simplify
85/144
Final Answer: 85/144
I think the answer would be C. (btw, you should charge your phone/tablet, lol)