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CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2004

  • question_answer
    If birth to a male child and birth to a female child are equal-probable, then what is the probability that at least one of the three children born to a couple is male?

    A)  \[\frac{4}{5}\]                  

    B)         \[\frac{7}{8}\]

    C)  \[\frac{8}{7}\]                  

    D)         \[\frac{1}{2}\]

    E)  \[1\]

    Correct Answer: B

    Solution :

    \[S=(BBB,\text{ }BBG,\text{ }BGB,\text{ }GBB,\text{ }GGB,\text{ }GBG,\] \[BGG,\text{ }GGG\}\] and\[E=\{BBB,\text{ }BBG,\text{ }BGB,\text{ }GBB,\text{ }GGB,\text{ }GBG,\] \[BGG\}\] \[n(E)=7\]and\[n(S)=8\] \[\therefore \]  \[P(E)=\frac{n(E)}{n(S)}=\frac{7}{8}\]


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