Crypto-solo-mining lottery

A question to the group of people here in steemit that know's better how cryptocurrencies works... 

How possible is to make an app that tries to find a new block every 10 min, running on a PC with a very low hash power (maybe by using a small ASIC of  5GHz/s)? The only goal of that app is to find the right nonce to solve next block just to get the block reward (with only one transaction in it).

Is it possible to calculate the what are the odds an app like this can find a block just by luck?

And if those odds are bigger or smaller comparing to buying lottery tickets every week to win the same amount of money...