snowball’s chance in hell

a snowball's chance in hell

An infinitely small possibility, chance, or likelihood, to the point of being impossible. Usually used in the phrase "not have a snowball's chance in hell." That candidate doesn't have a snowball's chance in hell of winning an election in this part of the state. We haven't got a snowball's chance in hell if we have to compete against some mega corporation like that!
See also: chance, hell

snowball’s chance in hell

n. a very poor chance. (Usually in the negative.) She doesn’t have a snowball’s chance in hell of getting it done on time.
See also: chance, hell