Potentiality for favorable or interesting results: The idea has great possibilities. (noun)
American Heritage(R) Dictionary of the English Language, Fifth Edition. Copyright (c) 2011 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
Use "possibility" in a sentence
"You frequently ask others to accept the possibility that your beliefs are correct - now I ask you to accept the _possibility_ that Jesus was a human teacher and that the mythology around his divinity were added after the fact."
"And I think your thesis, that modern adolescence and modern poetry intersect at the desire to resist closure/identity and maintain possibility, is right on."
"The criticism that Dr. Schuller's messages have been nothing more than a watered down versions of optimistic pop psychology, given that his major theme is what he calls "possibility thinking," is unfair."