When a miner owns a majority of the hash power they can multiply their rewards in a way that the original Bitcoin cannot do. This leaves them with much more rewards on the same chain eliminating their need to brute force a new chain. This forms a natural 51% attack deterrent system. SHA-256 is a member of the SHA-2 cryptographic hash functions designed by the NSA. SHA stands for Secure Hash Algorithm. Cryptographic hash functions are mathematical operations run on digital data; by comparing the computed "hash" (the output from execution of the algorithm) to a known and expected hash value, a person can determine the data's integrity. SHA-1, SHA-2, SHA-256, SHA-384 – What does it all mean!! If you have heard about “SHA” in its many forms, but are not totally sure what it’s an acronym for or why it’s important, we’re going to try to shine a little bit of light on that here today. About Sha256 : Sha-256 is a function of algorithm Sha-2 (as 384, 512, and more recently 224 bits versions), which is the evolution of Sha-1 , itself an evolution of Sha-0. Sha-2 algorithm was developed by NSA to answer the security problem of Sha-1, since the theorical discover of a 2^63 operations for collisions. The probability of a miner finding a valid block in the bitcoin blockchain is assumed to follow the Poisson distribution.  suggested using an optimized SHA256 algorithm in bitcoin mining
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