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Two numbers are chosen independently and uniformly at random from the set {1, 2… 13}. The probability (rounded off to 3 decimal places) that their 4-bit (unsigned) binary representations have the same most significant bit is __________.
    Correct answer is '0.503'. Can you explain this answer?
    Most Upvoted Answer
    Two numbers are chosen independently and uniformly at random from the ...
    1 - 0 0 0 0
    2 - 0 0 11
    3 - 0 0 1 0
    4 - 0 1 0 1
    5 - 0 1 0 0
    6 - 0 111
    7 - 0 11 0
    8 - 1 0 0 1
    9 - 1 0 0 0
    10 - 1 0 11
    11 - 1 0 1 0
    12 - 11 0 1
    13 - 11 0 0
    1–7 (MSB0) 7 numbers
    8–13 (MSB1) 6 numbers
    Required probability = Either both of them of MSB0  
    Or both of them of MSB1 
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    Community Answer
    Two numbers are chosen independently and uniformly at random from the ...
    1 - 0 0 0 0
    2 - 0 0 11
    3 - 0 0 1 0
    4 - 0 1 0 1
    5 - 0 1 0 0
    6 - 0 111
    7 - 0 11 0
    8 - 1 0 0 1
    9 - 1 0 0 0
    10 - 1 0 11
    11 - 1 0 1 0
    12 - 11 0 1
    13 - 11 0 0
    1–7 (MSB0) 7 numbers
    8–13 (MSB1) 6 numbers
    Required probability = Either both of them of MSB0  
    Or both of them of MSB1 
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    Solutions for Two numbers are chosen independently and uniformly at random from the set {1, 2… 13}. The probability (rounded off to 3 decimal places) that their 4-bit (unsigned) binary representations have the same most significant bit is __________.Correct answer is '0.503'. Can you explain this answer? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE). Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free.
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