impossibility should never be confused with improbability.
the improbability of such rare coincidences.
Examples of improbability
improbability
Your most recent article mentioned the improbability of these gutters clogging.
From the dailyherald.com
Kato's lifelong trip to the commissionership tests the limits of improbability.
From the washingtonpost.com
For the rest of us, we're going to spend a moment pondering the improbability.
From the courier-journal.com
The unlikely has a way of sustaining itself, one improbability leading to another.
From the ocregister.com
Greenspan now admits he was wrong about the improbability of a housing bubble.
From the sltrib.com
Today it is difficult to appreciate the audacity and improbability of its success.
From the economist.com
But to say this is only to state the fact of our improbability in other terms.
From the guardian.co.uk
Gravity applies to the mass because, as an order of energy, it is an improbability.
From the newscientist.com
It still gives Sendak vertigo to consider the improbability of his parents'survival.
From the guardian.co.uk
More examples
The quality of being improbable; "impossibility should never be confused with improbability"; "the improbability of such rare coincidences"
(improbable) not likely to be true or to occur or to have occurred; "legislation on the question is highly unlikely"; "an improbable event"
Too improbable to admit of belief; "a tall story"
Probability is a way of expressing knowledge or belief that an event will occur or has occurred. The concept has been given an exact mathematical meaning in probability theory, which is used extensively in such areas of study as mathematics, statistics, finance, gambling, science, and philosophy ...
Improbable is a 2005 science fiction thriller novel by Adam Fawer. It is the story of a gifted young man named David Caine, who has been troubled by debilitating epileptic seizures to the extent that his medical condition has thrown his life completely off track. ...
(Improbable (The X-Files)) "Improbable" is the 195th episode overall, and 13th episode of the ninth season of the science fiction television series The X-Files. The episode first aired in the United States on April 14, 2002 on Fox, and subsequently aired in the United Kingdom. ...