NCERT Solutions for Class 12 Maths Chapter 13 Probability Miscellaneous Exercises

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Class 12 Maths NCERT Solutions Chapter 13 Probability Miscellaneous Exercises cover all important concepts of Chapter 13. 

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CBSE CLASS XII Related Questions

  • 1.

    For events A and B, if \(P(B)=\frac{3}{5}\), \(P(A/B)=\frac{1}{2}\) and \(P(A\cup B)=\frac{4}{5}\), then \(P(A)\) is :

      • \(\frac{1}{2}\)
      • \(\frac{3}{5}\)
      • \(\frac{1}{5}\)
      • \(\frac{3}{10}\)

    • 2.

      Find the product of the maximum and minimum values of the function \( f(x) = \cos x - \frac{1}{2}\cos 2x,\ x \in \left[0, \frac{\pi}{2}\right] \).


        • 3.

          Differential of \( \log \sin x \) with respect to \( \sqrt{\cos x} \) is :

            • \( -2\sqrt{\cos x}\cdot\cot x\cdot\operatorname{cosec} x \)
            • \( \sqrt{\cos x}\cdot\cot x\cdot\operatorname{cosec} x \)
            • \( \frac{2\sqrt{\cos x}}{\sin x} \)
            • \( \frac{1}{\sin x\sqrt{\cos x}} \)

          • 4.

            Solve the differential equation \( (x+y)\,dy + (x-y)\,dx = 0 \), given that \( y(1) = 1 \).


              • 5.

                Evaluate :

                \[ I = \int_{-\pi}^{\pi} \frac{2x\,(1+\sin x)}{1+\cos^2 x}\,dx \]


                  • 6.

                    The value of \( \left[ \tan^{-1}(-1) + \cos^{-1}\left(-\frac{1}{2}\right) + \sin^{-1}\left(\frac{1}{2}\right) \right] \) is :

                      • \( \frac{7\pi}{12} \)
                      • \( \frac{5\pi}{12} \)
                      • \( -\frac{5\pi}{12} \)
                      • \( \frac{\pi}{3} \)
                    CBSE CLASS XII Previous Year Papers

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