I chose:
You make your own luck. (I got lucky, but it was only useful because I had already spent years accumulating knowledge and assets that let me take advantage of it.)
And I think the line from your OP is very important:
having the resources, strength, and knowledge to take advantage of that lucky break weren't important, too
And not just 'lucky breaks', but opportunities. I can't tell you how many people I worked with that passed up golden opportunities. You'd explain it to them, and they are just "well, I don't know...."
It would be easy to vote "some of both", that's true also, and depending on my mood, and frame of reference, "None of it was Luck", might get my vote. Many of us can point to some good luck that helped, but since I don't dwell on the negative, I could probably make a long list of bad luck that held me back if I thought about it. Maybe enough to offset the 'good luck'? I know plenty of people who dwell on every little bad thing that happened to them (that they let happen, usually), and to them, that is the "reason" they never succeeded. Heck, get over it, move on, learn from it, get to work!
-ERD50