The better thing to find out is how many people need to run bitaxes for the solo miners to have a significant chance, like 5%, to mine a block every ten minutes. How many bitaxes for every 1 in a 1000, 500, 100, 50, etc. blocks to be solo mined?

This also means you have a 1 in 13,000 chance in return for waiting a year and your chance gets higher every additional year you wait Much better than lottery ticket

To be 5% of the network youd need 50 million bitaxes.

I did some quick rough math, and came up with the following. For a bitaxe to find a block once in each interval, you'd need somewhere around the listed number of bitaxes on the network with the current hashrate. 1 block per day - 5 million Bitaxes 7 days - 700 thousand 30 days - 160 thousand 1 year - 15 thousand How many bitaxes are out there now? Maybe a few hundred to a thousand or so? And we're only adding more.

Probability is crazy. It was also never my strong suit.