NCERT Solutions for Class 12 Chapter 13 Probability Exercise 13.5

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Class 12 Maths NCERT Solutions Chapter 13 Probability Exercise 13.5 is based on Bernoulli Trials and Binomial Distribution. 

Bernoulli Trials must satisfy the following conditions:

  1. There should be a finite number of trials.
  2. Trials should be conducted independently.
  3. Each trial has exactly two outcomes: success or failure.
  4. Probability of success remains the same in each trial.

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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.

        If \(y = \sqrt{\log \left\{ \sin \left( \dfrac{x^2}{3} + 1 \right) \right\}}\), then show that

        \[ \frac{dy}{dx} = \frac{x \cot \left( \dfrac{x^2}{3} + 1 \right)}{3y}. \]


          • 3.

            Find the value of \(x\) if \(A = B\), where

            \[ A = \begin{bmatrix} 6 & 3x \\ 8 & -6 \end{bmatrix} \text{ and } B = \begin{bmatrix} 6 & x^2+2 \\ 8 & x^2-5x \end{bmatrix}. \]


              • 4.

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


                  • 5.

                    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

                    • 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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