AbigailII: Yea, it will be interesting to see how much cat/mouse type of play - that is would it be better to just make a dummy shot that you know will show a 0, or take a guess when you have a 33% chance (or 50% chance) - since a wrong guess will only cost you 3 points.
It will be interesting to see if a "safe" game or an aggressive guessing game will work the best.