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DDI'm not a Dimaggio fan by any means but, it was not luck. He was a great hitter, on an incredible hot streak, and everything just came together. Mathematically, I'm sure Tom Tango, or someone else could analyze every at bat, in every situation, during the streak, to come up with some kind of luck factor. You still have to hit it where they ain't.
Bottom line is that if you look at the top 7 (at least) all time hitting streaks, all were by great hitters. The distance between Dimaggio and Rose is the most impressive thing to me. In the 60+ years since, no one has come closer than about 3/4's of the way to tieing him.