One little side issue I'd like to raise is 'luck' vs. 'randomness'. I think there are some shades of difference between the two terms when applied to baseball, and there is also some crossover.
For me, pure luck is something like Tony Clark's double bouncing into the stands in Game 5 of the 2004 ALCS and preventing what could have been the series-winning run from scoring.
Pure randomness is something like a starting pitcher not having his best stuff on that particular day, as may have been the case with Cole in Game 1 of the WS. (On that point I'll refer once again to Mike Mussina's neat theorem that in 32 starts he would have everything working in 8 starts, nothing working in 8 starts, and something working in 16 starts.)