How are the knights formed up? Are there units to either side?
If you assume they are either 1 rank of 4, or front rank of 3 and rear rank of 1, and that this is one BG fighting another out in open space, the knights will get 4 dice vs. 4 in impact, 6 dice vs. 4 in the first melee phase (can't expand or move non-fighting bases to other end in opponents turn except to match an exisitng overlap), and then (assuming no bases are lost) you get to the 8 dice vs.4 in the melee next turn.
So the cats really need to get on top early or things are likely to go from bad to worse quite rapidly!
In impact, I reckon the expected number of hits is 2 inflicted by knights, 1.55 inflicted by cats. (33% chance of hit per dice, plus 33% of 17%, = just under 39 % hit ration overall.
In first melee round, knights 3 hits vs. cats 1.55 hits.
In subsequent melee rounds, knights 4 hits vs. cats 1.55 hits.
So in terms of hits, it starts off with a significant edge to the knights and moves to a huge edge for the knights. The chances are that the knights are not going to be taking many cohesion tests or needing to make death rolls.
Being superior obviously helps the cats on their cohesion tests, but considering they are quite likely to lose by 2 hits or more, and they are going to struggle to avoid losing bases, I really wouldn't fancy their chances
Adding generals to both BGs doesn't alter the outlook much, but the expected hit ratios move a little bit further in the knights favour. Knights get 17% re-roll which succeeds 50% so expected hits rate 58.5%, i.e. 2.34 impact, 3.51 first melee, 4.68 subsequent melee. Cats get an additional 17% re-roll with 33% chance of success, so overal hit % increases to 33.3 + (2 x 16.7/3) = 44.4%, so expected hits = 1.78 in each phase.
