Shriha And Socks

There are $N$ pair of socks in an almirah (i.e. 2*$N$ socks in all). Shriha takes out 4 socks (**not** 4 pairs) for her sister from the almirah. Let's say the probability that the number of pairs of socks present in those 4 taken out socks is $J$ ( where $ 0 \leq J \leq 2 $ ) is given by $P$. $P$ can be represented in the form $a/b$, where $a$ and $b$ are coprime. Your task is to output $a/b$ modu