NCERT Solutions for Class 12 Chapter 13 Probability Exercise 13.1

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Class 12 Maths NCERT Solutions Chapter 13 Probability Exercise 13.1 is based on following concepts: Conditional Probability and Properties of conditional probability.

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CBSE CLASS XII Related Questions

  • 1.

    Evaluate :

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


      • 2.

        \( \int e^{x}\left( \frac{2+\sin 2x}{1+\cos 2x} \right) dx \) is equal to :

          • \( \log \cos 2x + C \)
          • \( \sec^{2} 2x + C \)
          • \( e^{x}\tan x + C \)
          • \( e^{x}\cot x + C \)

        • 3.

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

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

          • 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.

                If \(P(A) = 0.3\), \(P(B) = 0.7\) and \(P(B/A) = 0.5\), then \(P(A \cup B)\) is :

                  • \(0.35\)
                  • \(0.85\)
                  • \(0.5\)
                  • \(0.21\)

                • 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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