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8 July, 15:43

What is the probability of two consecutive ones in the string of 1s and 0s of length n?

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  1. 8 July, 16:04
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    Answer: 1 - 2 / 2^n

    Step-by-step explanation:

    It should be 1 - 2 / 2^n. But the alternate case is that every 1 and 0 is alternating and this can only happen in 2 cases in the form: 10101010101 ... and 0101010101 ...

    So since there are 2^n total combinations, the probability of two consecutive ones in the string of 1s and 0s of length n should be

    1-2/2^n.
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