And if you are into stats, your chance of winning a block reward solo mining is infinitely higher than with a pool 
That doesn't sound right, judging from how many users tell you that the chance is only around 2% within a year. Not to mention the difficulty is going to fluctuate, and I bet it will increase and just lower your chance even further. Doesn't really matter whether you have free electricity or not if you will never get it in the first place. Can you show us the math? Based on my experience, I only saw one post from a lottery miner in this forum, while the rest are just talking about probability, etc. Most of the time they are just doing it for fun, so if profit is your goal, mining with a pool is arguably more profitable & efficient. CMIIW.
You misunderstand his statement. Here is another way of writing what he said:
If I mine on a shared pool my odds of winning a solo block all to myself are zero.
If I mine on a solo pool my odds of winning a solo block are unlikely but far far better than zero.
Agreed, I think he meant it this way, but unfortunately, even with that meaning it's pretty much false, your chances of hitting a block mining solo are exactly the same as your chances of mining the equivalent of a whole block while mining to a pool.
With everything being equal, if your miner with 100% luck is supposed to hit a block in 10 years, if you mine to a pool for 10 years and combine your payouts, you will end up with a whole block reward.