uplinks:: Probability Public-key Cryptography
tags:: #lang/en #type/faq

Probability of someone generating the same private key

Assuming that the private Key Space is $n$ bits long, a total of $2^n$ private keys can be generated. Therefore, the probabiity of someone generating the exact private key equals to $\frac{1}{2^n}$

Did You Know

The size of bitcoin’s private key space, ($2^{256}$) is an unfathomably large number. It is approximately $10^{77}$ in decimal. For comparison, the visible universe is estimated to contain $10^{80}$ atoms.
— Mastering Bitcoin

References

See Also