Type of primer is needed to be answered first, but I have had light primer strikes on a gun that used to work just fine, and with the same ammo prior to me cleaning it.
The gun at question was a handgun, Glock 17, and I cleaned it with the then wonder lube CLP, "Frog lube" which smells wonderful, so I slathered everything in it as the gun was filthy and cleaned it up. Next range day...light strikes. Couldn't touch off a single round.
Turns out the wonderlube is wax based and in my slathering, I got some in the firing pin channel. The wax was enough to slow the striker/firing pin so only light strikes were possible.
I cleaned the firing pin and its channel and away it went like a clock.
After addressing the type of primer, check to see whether it's possible the firing pin is either broken, or grease (wax) is in the firing pin bore?