10th Class Mathematics Probability Question Bank Probability

  • question_answer
    A Suppose a die is dropped at random on the rectangular region as shown in the figure. What is the probability that it will land inside the circle with diameter 2 m?

    A)  \[\frac{\pi }{8}\]                                             

    B)  \[\frac{\pi }{28}\]

    C)  \[\frac{1}{12}\]               

    D)         \[\frac{1}{18}\]

    Correct Answer: B

    Solution :

     \[n(S)=\]Area of rectangle \[=\text{7}\times \text{4}=\text{28 }{{\text{m}}^{\text{2}}}\] \[n(A)=\]Area of circle\[=\pi {{r}^{2}}=\pi {{(1)}^{2}}=\pi \] \[\therefore \]Probability\[=\frac{n(A)}{n(S)}=\frac{\pi }{28}\]


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