14. Prove that run lengths of arbitrary length occur infinitely often with probability one. (Hint: Consider the random pattern: ΤΗΤΗΗΤΗΗΤ...ΤΗ.. .ΗT with the last term involving n H's. Let E, be the...

14. Prove that run lengths of arbitrary length occur infinitely often with<br>probability one. (Hint: Consider the random pattern:<br>ΤΗΤΗΗΤΗΗΤ...ΤΗ.. .ΗT<br>with the last term involving n H's. Let E, be the event that this pattern<br>occurs infinitely often and let E be the intersection of the events E,.<br>

Extracted text: 14. Prove that run lengths of arbitrary length occur infinitely often with probability one. (Hint: Consider the random pattern: ΤΗΤΗΗΤΗΗΤ...ΤΗ.. .ΗT with the last term involving n H's. Let E, be the event that this pattern occurs infinitely often and let E be the intersection of the events E,.

Jun 11, 2022

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14. Prove that run lengths of arbitrary length occur infinitely often with probability one. (Hint: Consider the random pattern: ΤΗΤΗΗΤΗΗΤ...ΤΗ.. .ΗT with the last term involving n H's. Let E, be the...

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