I like the fact that you have now come to understand that Bitcoin is not the regular shitcoins that hangs around the crypto space.

Firstly, an individual miner is likely to claim a block reward if he or she has enough mining resources just as you have said.

it all depends on his mining capacity, of if one has enough mining resources (mining power) than a mining farm his is likely to claim the blocks rewards it's very simple, the high your mining capacity the high chance you stand to claim but the question is how possible it for an individual to have more mining power than a farm (cooperations) ? is very rare or almost impossible.

The chance is very limited, like I said it's almost impossible because it's said that 2 heads are better than 1 so that means if two people are working towards a thing they are likely to more harder than an individual because combining the power of both it's higher than that of a single person. its applicable to mining, if a corporations sets up a mining farm it's almost impossible for an individual to over take them because they are two different force combined.

So the chance is very low, more like 10% chance of 100%