There's an infinitesimally small chance of your kid getting shot at school. However if you homeschool the kid, there's a 100% chance it'll turn out batpoop crazy. I've NEVER met a mentally well-adjusted homeschooled kid. You need to spend your time around other kids your age when you're growing up, not your parents all the time.
Great point. Kids need plenty of social interaction starting from a young age to develop into normal adults. Keeping them locked indoors and away from the world while they're growing up is a surefire way to turn them into sociopaths and you'll do more harm than good.