Hey Mike... welcome
Poker doesn't really have any puzzles or analysis.. since people bluff, etc, you can't really calculate anything out per say...
What would be better is to give you a hand and a flop, or turn, etc. and have the person guess what the % is that they'd hit one of their outs... something like that.
BTW, it's too bad you didn't leave closer to me.. I really want to sit down (literally) with somebody and calculate and memorize certain calculations, etc..