There is no 'fully mine a block', each hash is random and each hash has a specific probability of finding a block.
That's true, but I get what he means, and maybe OP is new to the game.
People are trying to do what OP suggests with USB stick miners, aka "lottery mining". There's no harm in doing it, but you'd be better off playing Lotto every week, and I'm pretty sure the chances of mining a block with an ASIC in your home are still very remote. IMO it's far better to join a pool and at least earn something rather than be disappointed constantly by earning absolutely nothing--all while using up electricity at your own expense.
But good luck, OP. Solo or pool mining bitcoin can be fun, but it's just not profitable for individuals these days.
Thanks for the response. I probably should have clarified that I am not interested in mining myself, I was just curious about how it works in a more technical aspect. thanks!