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.
    The value of p for which roots of the quadratic equation $x^2 - px + 6 = 0$ are rational, is

      • $1$
      • $-5$
      • $25$
      • $\sqrt{5}$

    • 2.
      Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.


        • 3.
          Prove that: $\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta$


            • 4.
              In the given figure, $AB \parallel DE$ and $AC \parallel DF$. Show that $\Delta ABC \sim \Delta DEF$. If $BC = 10\text{ cm}$, $EB = CF = 5\text{ cm}$ and $AB = 7\text{ cm}$, then find the length $DE$.


                • 5.
                  A chord of a circle, of radius 14 cm, subtends an angle of $60^\circ$ at the centre. Find the area of the smaller sector and perimeter of the smaller segment.


                    • 6.
                      The dimensions of a window are $156\text{ cm} \times 216\text{ cm}$. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.

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