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The will boldly claim your to stupid to know what a block chain is when your not allowed to speak in the conversation.
The "statistical improbability" of blockchain is a key cryptographic principle that makes it secure and immutable. This principle refers to the extraordinarily low probability of certain events occurring, like a malicious actor successfully forging transactions or compromising the network.The security of blockchain relies on several statistical impossibilities, most of which are tied to its use of cryptographic hashing. A hash function takes an input (such as a block of transaction data) and produces a fixed-length string of characters called a hash.Hash collisionsA hash collision occurs when two different inputs produce the same hash output. Because a hash is a fixed-size value representing a potentially infinite number of inputs, collisions are theoretically possible according to the pigeonhole principle. For a strong cryptographic hash function like SHA-256, used in Bitcoin and many other blockchains, the probability of a collision is astronomically small.Size of the hash: The SHA-256 algorithm produces a 256-bit hash, meaning there are \(2^{256}\) possible outputs. This is a number with 78 digits. The massive size of this output space makes finding a collision by chance practically impossible.The birthday paradox: Due to the birthday paradox, the probability of a collision becomes significant after generating a number of hashes equal to the square root of the number of possible outputs. For SHA-256, this is \(2^{128}\) hashes. This number is still so enormous that it would take far longer than the age of the universe for all the world's computers combined to compute that many hashes.Implications for blockchain: Since each block's hash is created from the data within it, a hash collision would allow an attacker to create a fraudulent transaction that generates the exact same hash. ect
