7 luck and the part at the Repcon HQ where
Spoiler
You can tell the robot "[LUCK 7] Ice Cream" and it identified you was hilarious
Ha ha. I just did that last night. I was like "whha?"
I put in 9 points in luck myself. I AM LOVING IT. Hell, i prob should of just put 10.
I have over 10000 caps, the majority of which i won at black jack
My character is a critical beast.
Combined, Built to destroy trait (+3% crit), a certain hat that is given to you (+5 crit) , the finesse perk,(+5 crit) the better criticals perk (+50% crit damage), and high luck (9 in my case) you have a critical rate of around 22%.
Using a multi pellet/beam weapon (I.E. the terrible shotgun / metal blaster from fallout 3) , I believe the critical is calculated per each pellet/beam. This boosts the critical rate even further and gives a CRAZY amount of damage.
My character energy weapon base so I also threw in the Meltdown which seems to activate on criticals, though I'm not sure, as a cherry on top.
At lvl 22 you can take Laser commander which giver you +10% crit and a damage boost. I'm not there yet but I can't wait, I think I'll get a critical rate of 32% after that perk.