The Collaborative International Dictionary
a snowball's chance in hell
Snowball \Snow"ball`\, n.
A round mass of snow pressed or roller together, or anything resembling such a mass.
(Bot.) The Guelder-rose.
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(Bot.) a shrub of the genus Viburnum, having large clusters of white flowers.
Snowball bush or Snowball tree (Bot.), the Guelder-rose.
a snowball's chance in hell, [Colloq.] no chance; an infinitesimal chance.