Quote from: FiatKiller on March 04, 2014, 01:31:31 PM

Winning the lottery is very unlikely also, but someone has to win eventually. If you use random numbers, the very next number chosen COULD be it. ...

Sure, but you have to include the fact that the number space is huge. The number of tickets in a lottery are at least contained in a pool from which you know a winner is drawn. That is different than looking for a number in a huge range of integers.

Simple crude calculation:

2¹⁶⁰ bitcoin addresses
2 billion computers worldwide¹
3 million addresses checked per day on a computer²
2¹⁶⁰ / ( 2e9 * 3e6 * 365 ) = 667e27 years

Timeline:

big bang sun was born now sun dies existing stars burn out you finding k all matter evaporated
|-------------|---------------|--------------|---------------|-----------------------|-----------------|
0 9.2e9 13.8e9 19e9 1e15 667e27 1e34

Entropy is a bitch.