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10th Class Mathematics Probability Question Bank Probability

  • question_answer
    In a class, 45% students read English, 30% read French and 20% read both English and French. One student is selected at random. Find the probability that he reads English, if it is known that he reads French.

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

    B)  \[\frac{2}{3}\]

    C)  \[\frac{6}{6}\]                         

    D)  None of these

    Correct Answer: B

    Solution :

    (b): Let A be the event of reading English and B is the event of reading French. Then \[P(A)=\frac{45}{100}=\frac{9}{20},\,\,\,\,\,\,\,P(B)=\frac{30}{100}=\frac{3}{10}\] and \[P(A\cap B)=\frac{20}{100}=\frac{1}{5}\] \[P\left( \frac{A}{B} \right)=\frac{P(A\cap B)}{P(B)}=\frac{\frac{1}{5}}{\frac{3}{10}}=\frac{2}{3}\]


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