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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.

Game Time WPM Accuracy
103278 2020-11-23 18:31:34 122.39 98.6%
94741 2020-09-05 18:22:55 131.89 98%
84733 2020-06-18 19:30:13 127.48 99%
77153 2020-04-05 15:15:00 98.29 97.5%
76102 2020-03-31 18:14:27 123.74 98.3%
72523 2020-03-15 01:23:43 113.91 97.2%
66715 2020-02-16 10:51:15 115.03 99.5%
59707 2020-01-18 00:53:39 110.74 96.1%
57324 2020-01-07 17:05:31 115.29 97.3%
53041 2019-12-15 14:49:29 101.60 96.1%
47253 2019-11-18 22:22:22 97.79 96%
44003 2019-10-31 15:00:55 105.87 96.3%
38969 2019-09-27 19:05:32 96.65 95.4%
38753 2019-09-22 08:47:06 102.85 97.6%
31892 2019-07-15 18:47:32 93.57 95.9%
31626 2019-07-13 21:59:16 96.75 96%
28192 2019-06-24 19:10:57 104.14 98.1%
28140 2019-06-24 18:25:51 104.96 96.5%
17089 2019-04-06 20:04:48 80.71 94.8%
16371 2019-04-05 14:08:46 95.65 96.9%
13522 2019-03-17 19:34:46 116.59 98.2%
7660 2019-02-06 08:15:28 115.01 97.5%
4405 2019-01-21 18:09:54 116.76 97.5%