Rethinking the best home defense weapons: a look at the .22

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not everybody in my house would want to pick up a shotgun certainly not the elderly members or my partner so a .22 would be preferable and you can miss with a shotgun , tue cyl produces about 1 inch of spread per yard so your pattern at 15-20 yards is about 15-20 inches diameter

OK so not impossible to miss granted, but a 15" spread compared to 0.22" by my calculation the shotgun spread is more than 4000 the area of the .22

The chances of hitting target with a shotgun, especially in the heat of the moment is way above that of a .22