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10th Class Mathematics Probability Question Bank MCQs - Probability

  • question_answer
    The probability of guessing the correct answer to certain question is\[\text{P}/\text{12}\]. If the probability of not guessing the correct answer to same question is \[3/4,\] then the value of P is:

    A) 1

    B) 2

    C) 3

    D) 4

    Correct Answer: C

    Solution :

    [c] Let E = Event of guessing the correct answer to a certain question.
    Probability (guessing the correct answer)
    \[P(E)=\frac{P}{12}\]    (Given)
    Probability (not guessing the correct answer).
    \[P(\bar{E})=\frac{3}{4}\]   (Given)
    \[1-P(E)=P(E)\]
    \[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,1-\frac{P}{12}=\frac{3}{4}\Rightarrow \frac{P}{12}=1-\frac{3}{4}=\frac{1}{4}\Rightarrow P=3\]
    So, the value of P is 3.


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