Wow, I really did not pay very good attention when I played. I completely reversed how I viewed the Attack compared to what it was. I saw things like crossing the rivers as needing a certain amount of energy to do, and the Attack being that energy, instead of them being a good thing that lowers risk. I think I read "Next Attack" as your next attack power, rather than the odds of it happening. I will say that, due to my misunderstanding, I favored high Attack, and yet only once had a fight in 2 runs. If the fights happened more, that may have helped clue me in. One of the kids played and I know they got more fights. We need to go over their review and get it posted.
This helps clarify the game, and totally makes sense now that I know what I'm looking at. A bit more instruction/tutorial in game would certainly help. Even without it, the game was fun. Understanding things would allow for better strategy, though from my runs it did feel quite easy. Increasing the chance of fights would add to the challenge and need to think about how to handle it.