Question: Problem 7. Define an (infinite) binary sequence s {0,1) to be prefir-repetitive if there are infinitely many strings tE {0,1)' such that ww-s. Prove: If

Problem 7. Define an (infinite) binary sequence s {0,1)" to be

Problem 7. Define an (infinite) binary sequence s {0,1)" to be prefir-repetitive if there are infinitely many strings tE {0,1)' such that ww-s. Prove: If the bits of a string s E 0,1 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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