outside chance

Noun

 * 1)  A small likelihood; a remote possibility.
 * 2) * 1948 October 25, "The Nation: The Real Fight," Time (retrieved 29 Jan 2019) :
 * Harry Truman might get a good share of the popular vote, but few people, outside of Harry Truman, gave him even an outside chance of getting the electoral votes necessary for election.
 * 1) * 2008 February 23,, "Music Review: A Visit That Crosses Two Centuries and an Ocean," New York Times (retrieved 29 Jan 2019) :
 * Given talent and the right connections, opera composers have at least an outside chance of a premiere performance by a reputable opera company.
 * Given talent and the right connections, opera composers have at least an outside chance of a premiere performance by a reputable opera company.