So you have chosen DEATH (mathandphysicsftw)

Race #30412

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Official speed 135.36 wpm (32.89 seconds elapsed during race)
Race Start September 30, 2020 9:25:57am UTC
Race Finish September 30, 2020 9:26:30am UTC
Outcome Win (1 of 2)
Opponents 2. kahow (124.23 wpm)
Accuracy 99.0%
Points 144.39
Text #3640570 (Length: 371 characters)

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.