NCERT Solutions 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.
Smoking increases the risk of lung problems. A study revealed that 170 in 1000 males who smoke develop lung complications, while 120 out of 1000 females who smoke develop lung related problems. In a colony, 50 people were found to be smokers of which 30 are males. A person is selected at random from these 50 people and tested for lung related problems. Based on the given information answer the following questions:

(i) What is the probability that selected person is a female?
(ii) If a male person is selected, what is the probability that he will not be suffering from lung problems?
(iii)(a) A person selected at random is detected with lung complications. Find the probability that selected person is a female.
OR
(iii)(b) A person selected at random is not having lung problems. Find the probability that the person is a male.

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2.
Find the sub–interval of \((0,\pi)\) in which the function \[ f(x)=\tan^{-1}(\sin x-\cos x) \] is increasing and decreasing.

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3.
A racing track is built around an elliptical ground whose equation is given by \[ 9x^2 + 16y^2 = 144 \] The width of the track is \(3\) m as shown. Based on the given information answer the following:

(i) Express \(y\) as a function of \(x\) from the given equation of ellipse.
(ii) Integrate the function obtained in (i) with respect to \(x\).
(iii)(a) Find the area of the region enclosed within the elliptical ground excluding the track using integration.
OR
(iii)(b) Write the coordinates of the points \(P\) and \(Q\) where the outer edge of the track cuts \(x\)-axis and \(y\)-axis in first quadrant and find the area of triangle formed by points \(P,O,Q\).

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4.
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 one such track is given as

(i) Find \(f'(x)\) for \(0<x>3\).
(ii) Find \(f'(4)\).
(iii)(a) Test for continuity of \(f(x)\) at \(x=3\).
OR
(iii)(b) Test for differentiability of \(f(x)\) at \(x=3\).

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5.
A rectangle of perimeter \(24\) cm is revolved along one of its sides to sweep out a cylinder of maximum volume. Find the dimensions of the rectangle.

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6.
Mother, Father and Son line up at random for a family picture. Let events \(E\): Son on one end and \(F\): Father in the middle. Find \(P(E/F)\).

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NCERT Solutions for Class 11 Maths Chapter 16: Probability

Class 11 Maths NCERT Solutions Chapter 16 Probability