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:

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:

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:

Chapter Related Topics
Coin toss probability formula	Empirical Probability Formula	Sample Space

Also check:

Math Study Guides
Maths Important Formulas	Maths MCQs	Comparison Articles in Maths
Difference Between Topics in Maths	Math Study Material	Arithmetic

CBSE CLASS XII Related Questions

1.
Find:
Let \(A=[a_{ij}]\) be a \(2\times2\) matrix whose elements are given by \[ a_{ij}=\frac{(2i-j)^2}{3} \] Find the transpose matrix \(A'\).
- \(\begin{bmatrix} \frac{1}{3} & 3 \\ 0 & \frac{4}{3} \end{bmatrix}\)
- \(\begin{bmatrix} \frac{1}{3} & 0 \\ 3 & \frac{4}{3} \end{bmatrix}\)
- \(\begin{bmatrix} \frac{4}{3} & 3 \\ 1 & 0 \end{bmatrix}\)
- \(\begin{bmatrix} \frac{4}{3} & 0 1 & \frac{3}{3} \end{bmatrix}\)
View Solution
2.
A carpenter needs to design a wooden box in the shape of a cuboid such that the sum of its length and breadth is 3 cm more than its height. Twice of its length, thrice of its breadth and its height add up to 10 cm. Its breadth added to 7 times its height is 1 cm less than 3 times its length.
3.
If \( xy = e^{x - y} \), then find \( \frac{dy}{dx} \).
View Solution
4.
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 \(q\).
- \(p = -\frac{2}{3}, \, q = \frac{5}{3}\)
- \(p = -\frac{8}{3}, \, q = \frac{20}{3}\)
- \(p = \frac{20}{3}, \, q = -\frac{8}{3}\)
- \(p = 0, \, q = 0\)
View Solution
5.
Which of the following equations is NOT a Linear Differential Equation?
- \((1 + x^2) \, dy + 2xy \, dx = \cot x \, dx\)
- \(y + \frac{d}{dx}(xy) = x(\sin x + \log x)\)
- \(x(1 + y^2) \, dx - y(1 + x^2) \, dy = 0\)
- \(y \, dx - (x + 3y^2) \, dy = 0\)
View Solution
6.
An NGO organises a charity event in which they decide to distribute woollen caps to protect children from winter. The caps to be distributed are in three separate boxes, Box I has 30 red caps, Box II has 20 red and 10 green caps, and Box III has 30 green caps. The probability that a Box i is selected and a cap picked out is i/6, where i = 1, 2, 3.
Based on the above information, answer the following questions :