You won't get the most accurate answer because it is a tricky question, even someone who have been solo mining Bitcoin and not solve a single block yet will advice you to stay away, the funny part is you can get a solo miner and solve a block faster than those that are already on the game for months already.

My answer is you can never know, solo mining is like a gamble, you won't get a accurate answer until you try it out yourself, how am I or anyone suppose to know if you will get lucky or not? The fact is it will be hard since many people want to solve a block too but no luck so far, still I can't advice you not to try.

Make sure you have free electricity though, this is one of the best ways to solo mine Bitcoin, if you are not paying a dime on the power bill then it is all well and good.