NCERT Solutions for Class 12 Chapter 13 Probability Exercise 13.3

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Class 12 Maths NCERT Solutions Chapter 13 Probability Exercise 13.3 is based on Bayes’ Theorem also covering questions based on Bayes Theorem Formula.

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CBSE CLASS XII Related Questions

  • 1.

    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

    \[ 2x + y \geq 8 \]

    \[ x + 2y \geq 10 \]

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


      • 2.

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


          • 3.

            The motion of a particle is described as \( S = 2t^{3} - 6t^{2} + 8 \). Its velocity \( \frac{dS}{dt} \), when the acceleration \( \frac{d^{2}S}{dt^{2}} \) vanishes is :

              • \( -6 \) unit/sec
              • \( 0 \) unit/sec
              • \( 18 \) unit/sec
              • \( 6 \) unit/sec

            • 4.

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


                • 5.

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


                    • 6.

                      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

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

                        CBSE CLASS XII Previous Year Papers

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