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://bitcointalksearch.org/topic/m.41803506
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.
Oh great
Thanks for the clarification