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JEE Main & Advanced Mathematics Probability Question Bank Mock Test - Probability

  • question_answer
    In a certain town, 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) 1/5                   

    B) 3/8

    C) 1/3       

    D) 2/3

    Correct Answer: B

    Solution :

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


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