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typeracer

Pit Stop
Racer Richie (richie_ko)
Race Number 7
Date Tue, 5 Nov 2019 8:01:16
Speed 80 WPM Try to beat?
Accuracy 96.3%
Rank 2nd place (out of 5)
Opponents imtiaz123 (1st place)

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Property (c) is known as countable additivity. It is not something that can be proved, but it is like an assumption or an axiom. In our experience, we have seen that operating as if the assumption is correct leads to useful and credible answers to many problems, so we accept it as a reasonable assumption. Not all probabilists agree that countable additivity is natural.
Fundamentals of Probability: A First Course (book) by Anirban DasGupta (see stats)

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