Multiple Choice Questions on Two lsquo n rsquo bit binary strings S1 and S2 are chosen randomly with uniform probability The prob........... for NDA Exam Preparation

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Multiple Choice Questions

Two lsquo n rsquo bit binary strings S1 and S2 are chosen randomly with uniform probability The prob...........

Mathematics (NDA) Probability
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    Two ‘n’ bit binary strings S1 and S2 are chosen randomly with uniform probability. The probability that the hamming distance between these strings is equal to’ is?

    nCd  /2n 

    Correct Answer

    nCd  /2d

    Incorrect Answer

    d/2n

    Incorrect Answer

    1/2d 

    Incorrect Answer
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    Explanation:

    Probability of success

    P=2/4

     =1/2

    4 possibilities {(0,0),(0,1),(1,0),(1,1)} ,(0,1),(1,0)  are success

    P(x=d)=  nCd (1/2)d  (1/2)n-d   

    = nCd  /2n  

    By: bhavesh kumar singh
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