improbability

noun

1. (countable, uncountable)The quality or state of being improbable; unlikelihood.
2. (countable, uncountable)That which is improbable; an improbable event or result.

   “"I really," returned the other with a sneer, "cannot agree about probabilities or improbabilities, but I know what the generality will think when they see a gentleman constantly with five very pretty girls, and I also know what they will say."”