Math can tell you all the probabilities over time, but there are times that getting up 1-0 or going from 2-0 to 3-0 has a huge physiological advantage. The other problem with math is that it's cumulative but doesn't take into account the hitter in questions current state of mind or ability or that the other team doesn't seem ready for something. Despite what the stats say, as a coach you know your kids and what they are likely to do at that moment. That doesn't mean you ignore the math, but sometimes you have to go with your gut.