no, you don't get more "chances"... your daily income will approach the same value in the long run.
yes, I do get more chances. in an hour I could be in search of x amount of blocks. if I was in an other pool that was half as fast I would be in maybe x/2 searches. my daily income has gone up; I get what you're saying, but the theory isn't proving itself in my case.
think about everytime you start a block, you flip a coin. if its heads, your search time is low; and tail, its high. 10 flips every hour will probably get you more heads than 5 flips per hour.
Yeah, but the outcome for everyone in the pool is the same, more flips per hour, ultimately means more people to share with... Thats the whole point.
Of course your daily income might have gone up for now, but in the long run you earn exactly as much as you would by mining without a pool or in a 1Thash pool...