I'm still looking through for the manner in which luck influences grinding, but here are the values for all grinders currently in-game and the percent chance that they will succeed on a +10 grind. I have no values on lower than that, sorry.
Left side is Offline, right is Online, for those interested in the offline side of things.
C Grinders
+1 0/5
+2 6/15
+3 23/20
+4 72/25
+5 100/30
+6 -/35
+7 -/40
+8 -/45
+9 -/55
+10 -/65
B Grinders
+1 0/0
+2 6/10
+3 23/16
+4 72/21
+5 100/26
+6 -/31
+7 -/37
+8 -/42
+9 -/52
+10 -/63
A Grinders
+1 0/?
+2 6/?
+3 23/?
+4 72/?
+5 100/?
+6 -/?
+7 -/?
+8 -/?
+9 -/?
+10 -/?
S Grinders
+1 5/?
+2 15/?
+3 30/?
+4 75/?
+5 100/?
+6 -/?
+7 -/?
+8 -/?
+9 -/?
+10 -/?
This means that if you're going from +9 to +10 on a Buster with a C+10, you have a 65% chance of succeeding, and a 35% chance of blowing up in your face.
Enjoy!
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