Not going to bore you with my research, but the number is around 1 in 2,000 for home invasions
Based on your logic, (or lack there of) I can stop using my seat belts and throw away my MC helmet.
The problem is, none of us know which on of us its that "1".
Sorry, my 20 years in LE tells me that stats don't mean crap. Also home invasions happen in Good Neighborhoods too.
The poorer, or slum areas have home envisions because of drugs, gangs, etc. They normally don't have anything worth stealing.
If a bandit wants to steal something, chances are, they're going to a good neighborhood.
I could keep a gun on my night stand, I could keep one under my mattress, or pillow.
Grandkids play with my dogs in the bedroom. So where are they most likely to find a loaded gun, in the bed room??? Probably.
Added to the treat of kids getting guns, I look up from where I'm setting on my couch typing this. The living room door is to my left, the back door is to my right. If someone kicks either, I can't get to the bedroom before they get in.
But I don't keep my loaded guns in the bedroom. I don't keep my loaded guns where grandkids can get to them.
I KEEP THEM (IT) IN MY POCKET.
You can't get though either door faster then I can get to my pocket. (No matter where I am). Grandkids can't get into my pocket. When my chickens or dogs start acting up, I can get out the door to get the fox, skunk, (or what ever that's after my chickens) faster then I can load a gun (since I keep the ammo and guns separate - grandkids remember).
Laugh all you want, people laugh at me when I wear a MC helmet too.
Laugh at cops who were protective vest, the odds of a cop getting shot is much less then the 1/2000 you've listed as your stat.