More like a certainty. As a mouse biologist, I have to say there are WAY better methods of dealing with mice than most presented here. Drowning in antifreeze is one of the least humane, poisons can have indirect effects, cats too, and so on and so forth.
Consider reverse game management for mice. If conservation for game species is "Habitat, Habitat, and Habitat!!" then think about how to reverse that for mice by removing habitat, in your garage, around your garage, etc.
If dispersal corridors are critical for mule deer, they are for mice as well. How are they getting into where you don't want them? Find it. Fix it. There are tricks to finding access points. There are tricks to figure how to block them. But they aren't hard tricks, just situation dependent and may require some ingenuity.
If forage matters for a healthy elk herd, what are those mice eating (besides dirtclod's cockroaches

)? Clean it up. I've met a million people that have declared death to anything and everything around their country acreage because they don't "learn" to stay out of the cat food bowl that is out 24/7/365. Don't be lazy, clean it up and learn to feed your pets properly!
These methods work better because once you have done them, they tend to solve the problem more or less permanently, unlike simply inflicting mortality which simply creates a vacuum to be filled, usually sooner than later.
Finally, if all that won't work, put out a few snap traps baited with a 50:50 mix of dry oatmeal and peanut butter and check them once in a while (don't be so lazy that you can't check a trap or two once every week or three). Dead mice pretty much dehydrate in most climates so it's not that big of a deal.
And know what species you are dealing with. One or two of them can kill ya. Which means cleaning up after them may require a few precautions. Lysol or dilute bleach and a mask are your friends - sounds familiar, eh? Take it from someone who learned the hard way - you don't want to go there.
Okay, enough ranting for one morning. Off to the range with a new gun.