Belcher's Bluff - Optimal/Dominant Strategy?
The charr is scripted to heal every other turn. As for the others I’m not too sure. I was able to beat all except the norn pretty quickly, though the human’s “woohoo” took a while to get lucky and work around. But I think its more luck based/kind of learning their patterns (besides which master skill to use). If I can actually beat the norn I’ll get back to you.
Dulfy has a guide that gave a few tips:
http://dulfy.net/2013/07/08/gw2-belchers-bluff-activity-guide/
There really aren’t any strategy because the NPCs can spam their signature moves as much as they want, it’s pretty much all based on luck, since they know what ability you use.