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.
    Find:

    If \[ (3\hat{i}-2\hat{j}+5\hat{k})\times(4\hat{i}+p\hat{j}+q\hat{k})=\vec{0} \] then find the values of \(p\) and \(q\).

      • \(p = -\frac{2}{3}, \, q = \frac{5}{3}\)
      • \(p = -\frac{8}{3}, \, q = \frac{20}{3}\)
      • \(p = \frac{20}{3}, \, q = -\frac{8}{3}\)
      • \(p = 0, \, q = 0\)

    • 2.
      Find:

      The shortest distance between the lines: \[ \vec{r}=(4+\lambda)\hat{i}+(2\lambda-1)\hat{j}-3\lambda\hat{k} \] and \[ \vec{r}=(1+2\mu)\hat{i}+(4\mu-1)\hat{j}+(2-5\mu)\hat{k} \]


        • 3.
          Which of the following equations is NOT a Linear Differential Equation?

            • \((1 + x^2) \, dy + 2xy \, dx = \cot x \, dx\)
            • \(y + \frac{d}{dx}(xy) = x(\sin x + \log x)\)
            • \(x(1 + y^2) \, dx - y(1 + x^2) \, dy = 0\)
            • \(y \, dx - (x + 3y^2) \, dy = 0\)

          • 4.
            Find:

            If the function \[ f(x)= \begin{cases} \frac{\sin x}{x}+\cos x, & x\neq0\\ k, & x=0 \end{cases} \] is continuous at \(x=0\), then find the value of \(k\).

              • \(0\)
              • \(-2\)
              • \(-1\)
              • \(2\)

            • 5.
              A relation $R$ on set $A=\{1,2,3\}$ defined as $R=\{(1,2),(2,1),(2,2)\}$ is

                • Reflexive only
                • Reflexive and Transitive
                • Symmetric and Transitive
                • Symmetric only

              • 6.
                Find: \[ \int \frac{x^2}{(x^2-1)(x^2+4)}\,dx \]

                  CBSE CLASS XII Previous Year Papers

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