Boolean Algebra Help

KDH

Well-known member
  • Jul 4, 2014
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    රූකඩ රාජ්ජේ


    දන්නා කෙනෙක් මේ ප්‍රශ්නෙට උත්තරේ කියපන්කො......


    A survey of of families having three children is taken. the sex of logical child is noted, begining with the oldest.

    1. construct a list of the logical posibilities.
    2. In which cases is each statement below true?

    A. There are more girls than boys, but at least one boy
    B. There is boy if and only if there is a girl
    C. The oldest child is a boy, if the youngest is a girl


    1 ප්‍රශ්නෙට truth table එක ගැහුවා.එකෙන් 2.A,B,C ලියලා ඒවා සම්බන්ද කරන විදිය තේරෙන්නේ නෑ බන්.මට boolean expression ටික විතරක් ලියලා දියන්.
     
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    demoArrow

    Member
    Jul 3, 2014
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    colombo
    lamayi 3 a,b,c kyla ganin.male 0r female 0 or 1 ganin
    A B C
    0 0 0
    0 0 1
    0 1 0
    o 1 1
    1 0 0
    1 0 1
    1 1 0
    1 1 1

    1=male 0=female
    itiuru tkata meke table 1n uttara balapan
     

    rclakmal

    Active member
  • May 8, 2008
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    In a galaxy far far away
    මචන් මේක boolean සීන් එකක් නෙමෙයි මට තේරෙන විදිහට. Probability scene ekak .


    GGG - 3 girls 0 boys
    GGB - 2 girls 1 boy
    GBB - 1 girl 2 boys
    GBG- 2 girls 1 boy
    BBB - 3 boys
    BBG -1 girl 2 boys
    BGG - 2 girls 1 boy
    BGB - 1 girl 2 boys

    if we take first one question,
    A - More girls than boys
    B- at least one boy
    P(A|B) - More girls than boys, provided at least one boy
    P(A) = 4/8 = 1/2
    P(B) = 7/8
    P(A DISJOINT B) = Probability of A and B happening together = 3/8

    P(A|B) = P(A DISJOINT B)/ P(B)
    = (3/8) / (7/8) = 3/7
     
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