Maff is cool.
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The game is fixed and there's no getting off the board.
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should be pretty simple to figure out the density of such sequences within a random series of digits, which is basically the problem you're proposing location x needs log10(x) digits to be correct (w/ rounding) the probability of that is 1/(10^log10(x)) ... which is just 1/x
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... so if I've done that right, you can expect that there's approximately one such sequence for every sequence length. I.e. one that's 1 digit long, one that's 2 digits long, one that's 3 digits long, etc.
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If you use every particle in the universe to approximate π, there's a 50% chance it will contain a given 300-bit sequence. (Paraphrased.)
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