not a hope in hell
Also, not a prayer. No chance at all, as in There's not a hope in hell that we have a winning bid, or If you don't watch the conductor you won't have a prayer of coming in on time. The first term was first recorded in 1923, the second in 1941. Both allude to the chance for heavenly salvation. Also see snowball's chance in hell.
Words nearby not a hope in hell
nosy parker,
not,
not a bad sort,
not a bit,
not a chinaman's chance,
not a hope in hell,
not a leg to stand on,
not a living soul,
not able,
not about to,
not all it's cracked up to be