Luck seems to be completely useless, as I see it.
The joke is that the computer had 2 units of luck, and it triggered with every attack, while I had 4, and it triggered only a couple of times during the battle. Where's the fairness, tell me? It seems to me that you simply can't take too many of them.
A lot has been said about the mechanics of lucky attacks (you can read some of it in the manual) – in short, when determining the probability of it triggering, the maximum value of no more than 5 units is taken into account.