Optimal pool abuse strategy

Bitcoin mining is in an essence a lottery. All the bitcoin miners independently try to find a winning ticket (block) defined as a hash lower than the current threshold. The bitcoin network adjusts this target based on the global hashing speed. On average, the bitcoin block is supposed to be found every 10 minutes. In practice, due to bitcoin hash speed growth, it is slightly less. If one mines independently, one has a probability of finding a block for a single hash equal to p = 1 2D , (1)