Ok, so let me tell the story.
I wanted to have a 5IV Aegislash, and I had a 5IV Pachirisu, so I thought, hey, I'll just get a Snorunt from the Friend Safari and breed them. So I go to the safari, and the very first Snorunt I caught had 4 IVs. I had the wifi off (so my friend being online couldn't have affected this), so I couldn't figure out how it happened. I assumed I just got really lucky and moved on.
Then things got really weird when I bred a 3IV Snorunt (Everstone) with a 5IV Honedge (Destiny Knot) and got a 6IV Honedge on like the 10th try. I don't know the exact probability of this, but I'm positive the chances of this happening are very, very slim.
So my question is, did I just get really, really lucky or is there something else behind this?