There is the other, more colloquial use of probability values, for non-repeatable events. It's much softer as the actual values are unverifiable, but still useful - and used all the time.
It's for risk calculations - the prob. of bad outcome P times the impact of that outcome, give you the Risk that you are taking. Eg, is it worth carrying an umbrella given 20% chance of rain? You take the annoyance of getting wet times 0.2, and compare that against the annoyance of lugging the ☔
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