DannnyHamilton has just made a very good example about the almost zero probability and people's attention to it. He said that if there is a VERY VERY small probability of a positive outcome (like to find a private key with the digital wealth), our brains (people's brains) would like to consider this event to happen on someday in future. However there is the same (or even larger) probability of a negative event (like die from a lighintg storm or spacewar with the aliens), our brains consider such event as never happen.

This is a very interesting psychological trick, how are our brains falsify the real probability of events depending on their outcome (positive or negative)  

In many life situations people do not spend any attention to the the events with 10-20% probability considering them as unlikely things, but in other situations they are ready to spend years of their life for "almost 0%" probability events