Question: Define an (infinite) binary sequence s E 0,1] to be prefix-repetitive if there are infinitely many strings w E 10,1 such that ww Prove: If

Define an (infinite) binary sequence s E 0,1] to be prefix-repetitive

Define an (infinite) binary sequence s E 0,1] to be prefix-repetitive if there are infinitely many strings w E 10,1 such that ww Prove: If the bits of a string s E 0,130 are chosen by independent tosses of a fair coin, then Prob[s is prefix-repetitive] = 0. Note: y means that r is a prefix of y where r and y are strings

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