Greetings. I joined to respond to http://forum.bitcoin.org/index.php?topic=26885.0 (not realizing the newbie rules), so I thought I'd post the question here.

Is there not a correlation between the size of the pool and the time it solves a block? I know there is an element of luck involved which adds some variance, but given a pool of size 100GH/s with 100 members, vs. a pool of 200GH/s with 200 members, at the end of the day wouldn't the pool of 200/200 earn slightly more on average (per member), as it has double the chance to hit the lucky hash, thus solve more than twice as many blocks as the first pool?

Thanks.