Paint mixing is a good way to think about the one-way nature of hash functions, but it doesn’t capture their unpredictability. If you substitute light pink paint for regular pink paint in the example above, the result is still going to be pretty much the same purple, just a little lighter. But with hashes, a slight variation in the input results in a completely different output:
If the private key is lost, the bitcoin network will not recognize any other evidence of ownership; the coins are then unusable, and effectively lost. For example, in 2013 one user claimed to have lost 7,500 bitcoins, worth $7.5 million at the time, when he accidentally discarded a hard drive containing his private key. A backup of his key(s) would have prevented this.
There are two basic ways to mine: On your own or as part of a Bitcoin mining pool or with Bitcoin cloud mining contracts and be sure to avoid Bitcoin cloud mining scams. Almost all miners choose to mine in a pool because it smooths out the luck inherent in the Bitcoin mining process. Before you join a pool, make sure you have a bitcoin wallet so you have a place to store your bitcoins. Next you will need to join a mining pool and set your miner(s) to connect to that pool. With pool mining, the profit from each block any pool member generates is divided up among the members of the pool according to the amount of hashes they contributed.
Nakamoto is estimated to have mined one million bitcoins before disappearing in 2010, when he handed the network alert key and control of the code repository over to Gavin Andresen. Andresen later became lead developer at the Bitcoin Foundation. Andresen then sought to decentralize control. This left opportunity for controversy to develop over the future development path of bitcoin.