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9th Class Mathematics Probability Question Bank Probability

  • question_answer
    In a class, 30% of the students offered English. 20% offered Hindi and 10% offered both. If a student is selected at random, what is the probability that he has offered English or Hindi?

    A) \[\frac{2}{5}\]                 

    B)         \[\frac{3}{4}\]

    C) \[\frac{3}{5}\]                        

    D)       \[\frac{3}{10}\]

    E) None of these

    Correct Answer: A

    Solution :

    Explanation Option [a] is correct,                    \[P(E)\,=\frac{30}{100}=\frac{3}{10},P(H)=\frac{20}{100}=\frac{1}{5}\,and\,P(E\cap H)=\frac{10}{100}=\frac{1}{10}\] \[P(E\,\,or\,H)=P(E\cup H)=P(E)+P(H)-P(E\,\cap H)\] \[=\left( \frac{3}{10}+\frac{1}{5}-\frac{1}{10}=\frac{4}{10}=\frac{2}{5} \right).\]     


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