The Watchmen realise that no-one has ever said 'It's practically a certainty, but it might just work' and so attempt to increase the odds of Sergeant Colon shooting a dragon to exactly a million to one (eventually blindfolded, standing on one leg, his face covered in soot and singing 'the hedgehog song').
They fail. Fortunately the odds of surviving the dragon's counter-attack was exactly a million to one.
Carrot attempts to arrest Vetinari. Particularly Vimes's reaction.
This one gets funnier in hindsight, as Vimes arrests Vetinari in Jingo.
To me, even more so when Sgt. Colon somehow manages to vocally command Carrot's central nervous system, and sent him marching away with a few army-styled orders. Especially when the narration notes that while Vetinari is speaking to Vimes, Colon is screaming at Carrot in the background to stop marching.
Carrot arrests the dragon, and then holds back the mob... can't have prisoners be killed by a mob.