NCERT Solutions for Class 12 Chapter 13 Probability Exercise 13.2

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Class 12 Maths NCERT Solutions Chapter 13 Probability Exercise 13.2 is based on following concepts: Multiplication Theorem on Probability and Independent Events. 

Independent events are two events wherein the probability of occurrence of one of them is not affected by the occurrence of the other are called independent events.

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CBSE CLASS XII Related Questions

  • 1.

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

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

    • 2.

      For the following Linear Programming Problem, shade the feasible region on the graph and find the coordinates of its corner points :

      Minimize \(Z = 18x + 10y\)

      subject to constraints

      \[ \begin{aligned} 4x + y &\ge 20 \\ 2x + 3y &\ge 30 \\ x, y &\ge 0. \end{aligned} \]


        • 3.

          Solve the differential equation \( y + \frac{d}{dx}(xy) = x(\sin x + \log x) \).


            • 4.

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


                • 5.

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

                    • \( \frac{7\pi}{12} \)
                    • \( \frac{5\pi}{12} \)
                    • \( -\frac{5\pi}{12} \)
                    • \( \frac{\pi}{3} \)

                  • 6.

                    For the given Linear Programming Problem, shade the feasible region on the graph and write the coordinates of the corner points.

                    Minimize \(Z = 5x + 7y\)

                    subject to constraints

                    \[ 2x + y \geq 8 \]

                    \[ x + 2y \geq 10 \]

                    \[ x,\ y \geq 0. \]

                      CBSE CLASS XII Previous Year Papers

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