My questions would be, did the hammer reset, did you feel it hit when you pulled the trigger, and did you see ANY evidence of a strike on the cartridge you ejected that failed to fire? You answered NO to all three. I had this same problem when I got my 15-22p. It was sometimes intermittent and sometimes it was every other round, but sounds exactly like the issue you are having. The gun fires a round, but what's happening is that it does not send the bolt back far enough to fully reset the trigger. You pull the charge handle back to clear the round in the chamber that you think failed to fire, and it fires the next round just fine. That round ejects and chambers the next one, but when you pull the trigger... nothing. When this was happening to me, the first clue was that the rounds I thought were failing had no firing pin mark at all. Then I realized that when I was pulling the trigger, there was nothing happening with the hammer. Upon further inspection and in comparison to my 15-22 rifle I also noticed that the extractor was not settling into the center of its relief cutout on the breech. And, if I pulled the bolt back a bit an let it try to settle gently into battery it would seem to hang up just a bit for about the last 1/32". The metal rails that the bolt rides on sit in their own cutouts on the breech face as well. I have also surmised that if the barrel was not properly aligned those rails would get twisted just a bit and perhaps cause the bolt to hang up.
In my case I was having an ejector issue as well, so I sent the gun into Smith. When I got it back, it was difficult to tell what they did, but the trigger resets 100% of the time for me now. I believe that they re-aligned the barrel just a bit, because the extractor sits perfectly into the center of the cutout now. They may have replaced the springs or repaired something else in the trigger assembly as well, but I couldn't tell. They didn't cure my ejector issue (which pissed me off) but I fixed it myself. Having a working gun to compare to one with issues is always a benefit. The whole thing was really frustrating, but once you get it resolved you will love the gun and it should perform admirably. Both of my 15-22s shoot flawlessly now, baring any ammo issues.