So basically, even in a worst case scenario of 22 UTG at a full table, there's still roughly a 60% chance no one else has a pocket. Easy game!
I have another question though: I understand there's 1225 preflop combos and 72 ways for an opponent to make a higher pocket than 22 (12 higher pockets with 6 combos each). So that's a 5.88% chance for one guy to have a higher pocket. So why not just multiply that by the number of opponents? I mean, they all have an equal chance to get a pocket, so why not just multiply 5.88% by the number of opponents (9 in this case, making it 52.9% as opposed to 41.9%).
What am I missing from the equation?