# Will the Declaration of Independence ever show up in pi? [duplicate]

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If pi goes on forever and is completely random, if ascii would be mapped onto pi would you eventually find the Declaration of Independence in it? If so, by what digit of pi can we reasonably expect this to happen?

## marked as duplicate by Asaf Karagila♦, Thomas Andrews, Namaste, saz, Najib IdrissiNov 16 '14 at 16:26

You can expect any digit to appear once in ten; any pair of digits to appear once in 100, and so you might expect the Declaration of Independence to appear once every $10^{17055}$ digits.
It is not known whether $\pi$ is 'normal', so the Declaration of Independence might never appear at all.