davidwb wrote:A low probability, undeniably, Paul...but still not 0. And the larger sample size of the entire league is about 50-50.
No argument with a larger sample size leading to a 50/50, but, that does not help explain what happened with Mike Jackson and Mike Jackson only, no matter how many leagues and teams are played on a daily basis.
If what happened with Mike Jackson (114/183 rolls on hitters card) only happens once out of 2000 times (approximately .0005433465), then, I would say nothing fishy is going on.
But, If the entire league is about 50/50 and the probability of what happened with Mike Jackson's 183 pitcher/batter rolls is 0.0005433465, then, I'd say someone has some explaining to do (but, only if this imbalance instance happens to more than 1 of 2000 "cards").
Perhaps, Mike Jackson pitched with a high fatigue factor (F0) several times, causing the game engine to roll the dice on the hitter's card more often than normal. If Jackson pitched as an F0 three or four times the probability of say, 114 of 183 instead of 105 of 183 paints a different picture when plugging the numbers into the binomial distribution calculator.