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According to this Guessing private keys The the odds of guessing a randomly generated Ethereum private key is 1 in 115 quattuorvigintillion. (Or, as a fraction: 1/2^256.) That denominator is very roughly around the number of atoms in the universe. (if you have 12-word mnemonic, the fraction is 1/2^128) So this means the probabilty of guessing a private key ...

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