I recently did a 9 luck run in Fallout 1 (I intended to increase the luck by 1 in-game with a special event) and it can be very broken.

Early combat was very difficult. I had a high agility, but very low strength and low hit point character. I had difficulty fighting molerats. Even with the small guns skill tagged I could only beat molerats by burst firing an SMG. Raiders or anything else toasted me.

But eventually, with my high luck and tagged gambling skill I raised gambling up to the point where I was more statistically likely to win than lose. I walked into a casino, went to a slot machine and held down the enter key. The game has no counter balance to winning at gambling. Casinos have infinite caps and they won’t kick you out for winning.

Once I had something like 100,000 caps I walked over and bought out all the available guns and gear. I might have been low level and physically weak, but I was wearing combat armor and had a burst firing shotgun.

Eventually I got the Red Ryder BB gun. With my low strength I couldn’t use large guns well, but a BB gun was easy to handle. Ammo weighed almost nothing. And I could fire three times in a turn. With my luck, hits were basically guarenteed to be critical. I could explode super mutants with a single shot.

I killed the final boss with a BB gun.