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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 14

  • question_answer
    In a certain twon, \[40%\]of the people have brown hair, \[25%\]have brown eyes and \[15%\]have both brown hair and brown eyes. If a person selected at random from the town, has brown hair, the probability that he also has brown eyes, is

    A) \[\frac{1}{5}\]                        

    B) \[\frac{3}{8}\]          

    C) \[\frac{1}{3}\]                        

    D)  \[\frac{2}{3}\]

    Correct Answer: B

    Solution :

    \[P(A)=\frac{40}{100},\,P(B)=\frac{25}{100}\] and  \[P(A\cap B)=\frac{15}{100}\] So \[P\left( \frac{A}{B} \right)=\frac{P(A\cap B)}{P(A)}=\frac{15/100}{40/100}=\frac{3}{8}\]


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