mining chooise private pool or public one

[joshstandalone]

Hello, what is better for me, if i have about 10gh/s to have my own pool to be paid when i find block or to mine with them on someones pool, what is best for me, since i dont understand it because someones pool generate more gh/s and it finds block before, so can someone explain me what to do ?if i did good calculation, if i open my pool il need with that power about 17 days to find block?
if i mine on my own pool will i find it in this 17 days?

[mjc]

Mine in a pool.  The pools are multiples of TH at this point.