I just had two epic experiences in SW:TOR. I was running a Flashpoint (group dungeon) with a LVL 17 character.
1) The class I was playing can spec as either healing or DPS. I was going DPS, but at my low level, not a lot of points had been added to either tree. I entered the group finder queue as DPS and the option to join a group came up. Before I could accept, I got a message that one group member had declined and I would be put at the top of the queue. I guess being put at the top of the queue caused me to be offered any position that I could qualify for. Without noticing it, I got ported in as a healer. Now, as I said, my class has a heal spec, and I had 2 healing powers. However, I had not put a lot of points into that tree. But since I didn't want to disappoint the group, I said I would do my best healing. Yeah, that was entertaining. I did it until the last boss (who is killer), but I was very glad 2 of the other 3 were a little overlevel for the FP!
2) We got to the final boss and wiped once. So we regrouped and tried again. I died, then one of the DPS. Finally, the tank went down, leaving only the other DPS. I was almost back and hoped I would get there in time to keep the other DPS up long enough for the Tank to get back. As I was about to get into range to heal, I heard the voice-over that marked the boss's death. The DPS had less than 100 health left, but she pulled it off!