NCERT Solutions for Class 11 Maths Chapter 16: Probability

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NCERT Solutions for Class 11 Maths Chapter 16 Probability are given in the article. Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. how likely they are to happen

Class 11 Mathematics Chapter 16 covers the following important concepts:

  1. Multiplication Rule of Probability: Proof and Solved Examples
  2. Types of Events in Probability
  3. Events and their Types in Probability

Download: NCERT Solutions for Class 11 Mathematics Chapter 16 pdf


Class 11 Maths NCERT Solutions Chapter 16 Probability

Class 11 Maths NCERT Solutions Chapter 16 Probability are provided below:

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Also check: Notes on Probability


Important Topics: Class 11 Maths NCERT Solutions Chapter 15 Statistics

Important topics for Class 11 Maths NCERT Solutions Chapter 15 Statistics are elaborated below:

Random Experiments

This section covers Outcomes and sample space with solved examples. Examples include tossing a coin and throwing a pair of dice.

Event

Concepts covered in this section are:

  • Occurrence of an event
  • Types of events
  • Algebra of events
  • Mutually exclusive events
  • Exhaustive events

Axiomatic Approach to Probability

  • Concepts covered in this section are:
  • Probability of an event
  • Probabilities of equally likely outcomes
  • Probability of the event ‘A or B’
  • Probability of event ‘not A’.

NCERT Solutions For Class 11 Maths Chapter 16 Exercises:

The detailed solutions for all the NCERT Solutions for Chapter 16 Probability under different exercises are as follows:

Also check:

Also check:

CBSE CLASS XII Related Questions

  • 1.
    In a school, the probability of holding a debate competition is \( \frac{1}{3} \) and that of a quiz competition is \( \frac{2}{3} \). In the two participating teams, A has 4 girls and 6 boys and B has 7 girls and 3 boys. If a debate competition is held, the students are selected from team A and for the quiz competition they are selected from team B. If only two students are to be chosen from the teams, then find the probability that one will be a girl and the other a boy.


      • 2.

        Check whether \[ f:\mathbb{R}-\{3\}\rightarrow\mathbb{R} \] defined as \[ f(x)=\frac{x-2}{x-3} \] is onto or not. 


          • 3.
            Find: \[ \int \frac{x^2}{(x^2+9)(x^2+16)}\,dx \]


              • 4.
                For \[ f(x)=x+\frac{1}{x}, \quad x\neq 0. \]

                  • local maximum value is 2
                  • local minimum value is \( -2 \)
                  • local maximum value is \( -2 \)
                  • local minimum value \( < \) local maximum value

                • 5.

                  Sports car racing is a form of motorsport which uses sports car prototypes.The competition is held on special tracks designed in various shapes. 

                  The equation of a sports car racing track is given as: \[ f(x)= \begin{cases} x^4-4x^2+4, & 0\leq x<3,\\ x^2+40, & x\geq 3 \end{cases} \] Based on this information:


                    • 6.

                      Check whether the function \[ f(x)= \begin{cases} \dfrac{|x-3|}{2(x-3)}, & x<3,\\[6pt] \dfrac{x-6}{6}, & x\geq 3 \end{cases} \] is continuous at \(x=3\) or not. 

                        CBSE CLASS XII Previous Year Papers

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