Although most accidental discharges, and nearly all accidental discharges resulting in injury, involve negligence, there are some exceptions. Things like slam fires can sometimes occur even with properly-maintained weapons. On the other hand, if a slam-fire injures someone, odds are good that it's because someone was careless.
Negligence is not limited to just the officer(s) in question but anyone involved with the maintenance and inspection of all the weapons. A slam discharge or doubling is a maintenance issue. But this is an extremely rare occurance in my experience, in fact in almost 20 years with the US Army, I have never even seen it happen. But I have seen numerous ND's due to negligence, carelessness or out and out recklessness.