# 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.

• This is only an approximation, appropriate for small mining efforts compared to the total network hashrate. – Greg Hewgill Feb 10 '14 at 19:30

The chances of finding a block relate to the proportion of total mining power that you contribute, compared to the network as a whole. For example, suppose you are mining with 1 GH/s and the rest of the network is 99 GH/s. Your chance of finding a block is:

``````1 / (1 + 99) = 0.01 = 1%
``````

If you double your hashing power, then you have 2 and the rest of the network still has 99.

``````2 / (2 + 99) = 0.0198 = 1.98%
``````

The reason it's not exactly 2% is the total network is now 101 GH/s, not 100.

If you control 40% of the network hashing power, things get a bit different:

``````40 / (40 + 60) = 0.40 = 40%
``````

``````80 / (80 + 60) = 0.5714 = 57.14%