NCERT Solutions for Class 9 Maths Chapter 15: Probability

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The NCERT Solutions for Class 9 Mathematics Chapter 15 Probability have been included in this article. Probability is the state of being probable or something (such as an event or circumstance) that is probable. Probability is the branch of mathematics that states how likely an event is to occur in mathematical context. 

Class 9 Maths Chapter 15 Probability belong to Unit 6 Statistics and Probability which has a weightage of 06 marks in the Class 9 Maths Examination. Class 9 Mathematics Chapter 15 has the following important concepts: 

  1. Probability – an Experimental Approach
  2. Probability — A Theoretical Approach

NCERT Solutions for Class 9 Mathematics Chapter 15

Download: NCERT Solutions for Class 9 Mathematics Chapter 15 pdf

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Important Topics in Class 9 Maths Chapter 15 Probability

Important Topics in Class 9 Maths Chapter 15 Probability are elaborated below:

Probability – An Experimental Approach

Experimental Probability can be defined as the branch of mathematics that deals with the uncertainty of the occurrence of events. Its calculation can be done by dividing the number of times an event has taken place by the number of trials in an experiment.

The formula of Experimental Probability is = Number of times a particular event occurs/ Number of total trials)

Probability — A Theoretical Approach

Theoretical Probability can be defined as the probability of the occurence of certain events that are not present in an experimental way.

The formula of Theoretical Probability is = Total number of desired outcomes/ Total number of outcomes

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CBSE X Related Questions

  • 1.
    If \(\alpha, \beta\) are the zeroes of the polynomial \(p(x) = x^2 - 3x - 1\), then find the value of \(\frac{1}{\alpha} + \frac{1}{\beta}\).


      • 2.
        Prove that :
        \(\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta\).


          • 3.
            If the quadratic equation \(9x^2 + 8kx + 16 = 0\) has real and equal roots, then the value of k is

              • 3
              • –3
              • –4
              • \(\pm 3\)

            • 4.
              In the figure given above, \(\triangle ABC \sim \triangle XYZ\), then find the values of \(x\) and \(y\).


                • 5.
                  Assertion (A) : H.C.F. \((36 m^{2}, 18 m) = 18 m\), where \(m\) is a prime number.
                  Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.

                    • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
                    • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
                    • Assertion (A) is true, but Reason (R) is false.
                    • Assertion (A) is false, but Reason (R) is true.

                  • 6.
                    The natural number 1 is :

                      • a prime number.
                      • a composite number.
                      • prime as well as composite.
                      • neither prime nor composite.

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