And they are very good at eating them as well, at least some of them.

My cat often brings mice and actually eat them. It's quite interesting, if gruesome, to observe because there seems to be a precise technique and it is very clean. He always starts with the head and usually there is nothing left apart from a very cleanly cut stomach, no blood, no mess.

Same with my cat. The instincts seem deeply rooted.

Yeah, we don't really see rats where I live, but every cat I've ever owned has occasionally brought mice home.

Adopted my cat at ~9 months, 8 years in an apartment, moved to a rural property and he knew exactly what to do with mice and how to stalk them. Even losing 3 of his 4 fangs didn't slow him down.