MathematicsA family consists of two children. What is the probability that they both are girls?

A family consists of two children. What is the probability that they both are girls?


  1. A
    14
  2. B
    74
  3. C
    34
  4. D
    54 

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    Solution:

    Given that a family consists of two children.
    We know that the probability is given as the ratio of the number of favorable outcomes with the total number of possible outcomes.
    P(E)=Number of favourable outcomes n(E)Total possible outcomes n(S)
    Let girl be 'g' and boy be 'b'. Then,
    S={(g,g),(g,b),(b,g),(b,b)}
    n(S)=4
    Let E be the event of having both of them as girls.
    E = (g, g)
    n(E)=1
    So the required probability is,
    P(E)=Outcomes having both girls n(E)Total number of outcomes n(S)
    P(E)=14
    Thus, the probability of both of them are girl is 14.
    Hence, option 1 is correct.
     
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