My actual first thought on reading the OP was that any mouse worth its salt would surely have spotted the descending hot splodge in its peripheral vision and dodged the splodge.
Our cats moved with us from town to country and discovered the joy of catching mice. The trouble was they would bring them in alive, interview them under the kitchen table and then lose interest. The most efficient way to catch them proved to be wellington boots laid flat - once inside the mice seemed quite happy and could be taken outside to live to fight another day. It did mean that I never put on a wellie without shaking it thoroughly just in case.
I saw a mouse run across my landing while the house was undergoing some building work. I hate mice and the next day went to the RSPCA and picked up two beautiful sister cats. I had meant to get a big ugly bruiser of a cat, but I fell in love with my two film star girls. As it happens, they are absolutely amazing little murderers as well, and I never get invasions of little fuzzy f***ers as the smell of cats is a deterrent.
The traditional traps aren't humane - we used them for an influx of small visitors one year and one victim was not despatched quickly. It was partially caught, and screamed in dreadful pain until my husband killed it. We resorted to humane traps but despite using peanut butter, and chocolate spread, the mice weren't convinced!
I live across the road from industrial units, so we get the nasty, big, furry, long tailed, scary things around here, but my spaniel has become quite accomplished at catching and killing them. Only last week, I came home from shopping to find one in the middle of my kitchen floor, thankfully, departed from this world. I grabbed the dustpan, scooped it up and deposited it in the wheelie bin, then came indoors and gave my saviour a nice tasty treat.
I have used humane mouse traps in the past and driven several miles away to release them in the countryside. I don't think they came back!
We've done that but were told they don't survive so it's in fact kinder to use the ordinary traps.
What Allira says is true. Mice are territorial and will kill unknown incomers.
Also - and it's amazing how few people seem to know this - "ordinary" mouse traps are humane. Humane doesn't mean something isn't killed; it means they are killed instantly and painlessly.
So "ordinary" mouse traps are humane whereas putting a mouse outside its own territory to be ripped up by other mice is not.
Back in the late 80's when our house was hooked up to mains gas, mum bought a gas cooker, we also had a fabulous cat called Smoky! He was a proper killer! However, a few weeks after having the cooker, Smoky decided to bring a live mouse into the house, something he'd never done before, always left remains usually.
Well, he brought this bloody mouse in whilst we were cooking ..... And let it go!
It shot straight under the cooker!
Neither we nor Smoky ever saw it again. There was a slight smell for abit and the cat spent quite a while lying in front of the cooker waiting patiently!
Having spent the afternoon batch cooking, I though I must have dropped a tasty morsel of sausage (creamy sausage pasta sauce) on the floor as one of the cats spent an awful lot of time sniffing round the floor by the cooker.
I am so pleased that the tiny mouse lurking under there didn't pop out while I was holding a pan of hot sauce.