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I don't think that anyone can make ANY prediction and consider it a "fact". Even historical analysis is open enough to interpretation that it's tough to establish facts based on what's happened. The question to me, then, is when someone makes predictions are their predictions likely.
A pair of sixes is definitely extreme, but your paragraph still makes my point: the odds of getting nine or higher on a roll of a pair of dice is 5/18... less than 33%. If we do a single toss, or a series of tosses, if I keep telling you that the total won't be more than eight I will be right most of the time.
If a person has to say, based on those odds, whether the player is going to get better or not, I think it's safe to say that the person should say he will not.
Ed O.
What if the improvement ceiling is higher than the sum of twelve that a pair of dice limits in terms of potential? What if the ceiling is a total of 20, and we don't know this because we are only playing with 6-sided dice? What if the ceiling is twelve, yet you're playing with 10-sided dice in order to assess room for improvement?

