I really dont like treating baseball like a series of coin flips, I think that is far too simplistic. I think if a player is hot then they should have higher odds of getting a hit with successive good ABs. You are treating players too much like a random dice instead of dynamic people. To suggest a true talent .300 hitter has a 30% chance of getting a hit in every single AB of their career does not reflect reality, in my opinion. Also, it would be extremely interesting to actually set up the trial you are suggesting and compare it to actual results. Maybe you are correct and you would not find anyone less random than your theoretical floor, but I suspect you would. Of course it is too simplistic. The point is that the streakiness that model would represent the MINIMUM streakiness you can expect from any player ever. If you find a player that is less streaky over the course of "x" number of games, it is only because of random chance. Why can I say that with such complete confidence? Because the fundamental laws of probability statistics demand it. It's a binomial distribution. It can't be erased. In reality, the odds of getting a hit changes for every AB, which only increases the spread of expected results for a given sample. Why do the odds change? Some of the largest reasons: * change in opposing pitcher skill and specific matchup (lefty/righty, pitch types, etc...)* park* health of batter and pitcher Those factors just add to the expected streakiness. I don't know how much "seeing the ball well" contributes to overall streakiness but I am certain that it is small compared to everything else (especially the luck part which can easily be calculated). Unless you think the odds of getting a hit are naturally cyclical (e.g. 90%,10%,10%, 90%, 10%, 10%, etc), the streakiness you see batters have is primarily based on a coin flip. I'm sure that's just another example of a stat-nerd ruining the game but it is what it is.