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I've personally seen two teen 700 go off with the safety on and the trigger not touched. I would never own a bolt action rem. One time a friend handed me a 243 rem 700 and it went off!! The nextwas a new one with about 200 rounds Down the tube that went off being set on a sand bag.
My dad has a rem 700 .300 locked in the gunsafe that will fire when safety is switched to fire. It will also fire when bolt is played with.