a snowball's chance in hell

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no chance; an infinitesimal chance.

See also: Snowball

Webster's Revised Unabridged Dictionary, published 1913 by G. & C. Merriam Co.
References in periodicals archive ?
With more party list charlatans now able to exert their force and power in the lawmaking process, it's a snowball's chance in hell. God have mercy on this country already.
Any hero status is further undermined by the knowledge that he does not have a snowball's chance in hell of winning.
THERE is not a snowball's chance in hell of Andre Berto beating Floyd Mayweather in his supposed Las Vegas swansong, which is of course the point.