Does a miner (or mining pool) who has 10x as much hashing power have 10x the odds of mining a block? I heard somewhere that joining a mining pool logarithmically increases your odds of mining a block.. is that for some reason true?  Or was it someone who didn't know what they were talking about and it would be be a linear increase in the likely hood of mining a block?
Each hash you do has a certain chance to successfully mine a block. Do twice as many hashes, and you have twice as many chances to mine a block.