https://github.com/JeanLucPons/VanitySearch

A vanitygen program like this one (GPU) can create up to ~200.000.000 private keys => addresses per second.

https://bitcointalk.org/index.php?topic=24268.msg41803506#msg41803506

the address space is 2^160

This means it would take your gpu
23171956451847141650870193314249 years to generate all private key => addresses

Since the sun will exist
11000000000 years,
It'll take about 21.065.414.956.224.674.228.063 suns to scan the keyspace.

Even if you want to scan only 1% (so you have a 1% chance of finding a funded address'es private key) and you own 1 million GPU's, it'll still take the lifetime of 210654149562246 suns

So, yes, i'd call those odds close to 0

Things change when you use a flawed RNG.