improbability
Noun
Meaning
The quality or state of being improbable; unlikelihood; also, that which is improbable; an improbable event or result.
Source: Webster's dictionarySynonyms
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Examples
impossibility should never be confused with improbability
the improbability of such rare coincidences
He believes the chances of life arising on a planet like the Earth are many orders of magnitude less probable than most people would think, but the anthropic principle effectively counters skepticism with regard to improbability.
Dawkins argues that a one-time event is indeed subject to improbability but once under way, natural selection itself is nothing like random chance.
On the other hand, if only severe failure to fit justifies theory rejection, then the Popperians will require some criterion of "improbability" or of "degree of falsification".
For the rest of the hike, I can’t stop thinking about that eagle, the icon, the improbability of seeing him in that moment.