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It is not impossible, but we will not see it for a long long time.
It could happen today, and again tomorrow. But once in a million years still beats the odds.
That does not make any sense. What would account for the average strength of a 1300 increasing while the average strength of a 2700 decreasing over time?
What I mean is that if you try say for a trillion times, you might hit that one time. This event has a probability of > 0, so if you try enough, it will happen, it just won't happen anytime soon.
Anything is, theoretically, possible when it comes down to it. But saying it wont happen for a long time still doesnt make sense. The games are independent of one another. Given the problem, the 1300 has the same probability to win the first game that he or she does the billionth.
Except in chess, the single event (a game) allows people to gain knowledge and thus does affect future probabilities. So, if 1300 keeps playing 2700 their odds of winning increase because their info increases. Random number theory does not apply.
So, if 1300 keeps playing 2700 their odds of winning increase because their info increases.
Umm in that case, they would not be 1300 anymore right? 1300 is a relative strength, if the player knowledge improves, they would not be 1300. The best chance for this to happen would be some very young and talented player, who is very under rated, maybe someone like Magnus or Wei Yi when they are about 8 or 9 or maybe even younger, but are rated 1300. I know Wei Yi played in Chinese pro league when was 8 or 9, so he was not 1300 at that age.
"1300 is a relative strength, if the player knowledge improves, they would not be 1300."
That is what I meant by "Given the problem." Earlier in the thread (I dont expect to read it) we settled on the 1300 player being a true 1300. Meaning his or her playing strength is always 1300.
Did that diving guy break his neck?
A person rated 200 points higher than another person has around 75% of winning
So either 0.(25^-7) or 25^-7%
Yeah, not gonna happen
didibrian: The math doesn't work like that. We're dealing with bell curves. Chess ratings are designed to correspond to a normal bell curve with a standard deviation of 200 * √2, which is about 283. A 1400 point rating difference would be about 4.95 standard deviations, giving the higher rated player a winning percentage of 99.999963%. If they play 2.7 million games, the lower rated player can be expected to score one point. (Of course, we are assuming the 1300 player continues to play like a 1300 player, not learning from the losses.)
I don't think this is an unrealistic figure. 2.7 million is a big number, although we see numbers in the billions and trillions so much nowadays that 2.7 million doesn't sound that big. Think about this, however: The odds of being dealt a royal flush in five-card poker is less than a million to 1. When was the last time you were dealt a royal flush?
Based on the elo formula the winning probabilty would be 0.000316%
The chance is significant. Every grandmaster blunders once in two games. If the 1300 player is good enough to punish the blunder the Gm will lose.
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