"Have you ever heard the announcer say that the batter has struck out 10 times in a row and is "due" for a hit? Same fallacy. Each at-bat is an independent trial; previous attempts have no influence on the current one. The probability of a hit is just the same as before. If this batter is striking out a lot, maybe the batting coach had better get busy!"
Independent? Maybe if the batter is a robot with anterograde amnesia, but otherwise this is really a poor example of probabilistic independence. :-)
Independent? Maybe if the batter is a robot with anterograde amnesia, but otherwise this is really a poor example of probabilistic independence. :-)