Etymology
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improbability (n.)

1590s, "fact or quality of being improbable;" see improbable + -ity. Meaning "an instance of something improbable" is from 1610s.

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Definitions of improbability

improbability (n.)
the quality of being improbable;
the improbability of such rare coincidences
impossibility should never be confused with improbability
Synonyms: improbableness
From wordnet.princeton.edu