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Edited By Satyajeet Kumar | Updated on Jan 25, 2022 05:33 PM IST

When a student enters Class 12, selecting the suitable material for preparation becomes crucial and scoring well academically. The Rd Sharma Class 12th Exercise FBQ solutions will assist students in developing better skills and efficiently preparing for exams. Students should go through chapter 30 thoroughly because Probability is one of the most important topics to learn in maths. Our subject matter experts have prepared solutions and even designed the chapter 30 problems so that you can have fun while solving them.

Probability Exercise Fill in the Blanks Question, Question 1.

If A and B are independent events then P(A∪B)=1-x where x=…. -

Using P(A)=1-P(A) ; P(A)=1-P(A)

We are given

A and an indepindent events

and B oure also independent

Since and B are independent events.

Now

Also given that

Comparing (1) and 2 we get

Probability Exercise Fill in the Blanks Question, Question 2.

If A and B are independent events such-that

PA=p,

P(B)=2pand

P( Exactly one of) then

p=?

if A and B are independent.

As A and B ane independent events.

So - (1)

Now

P( Exadly one of A and B occurs )=

⇒P( only A)+P( onlyB)=

So using quadratic formula, .

Probability Exercise Fill in the Blanks Question, Question 3.

If A and B are two events such that and

Then

Using

Let A and B be the two events.

Also ,

Now we know,

Probability Exercise Fill in the Blanks Question, Question 4.

If A and B are thoo events such that

and

Then p=………..

Use

And

Probability Exercise Fill in the Blanks Question, Question 5.

Let A and B lee ther everts.

If ,

Then A is … of B

Using

Let A and B le two events.

So, A is independent of B.

Probability Exercise Fill in the Blanks Question, Question 6.

Let A and B lu two events. Fof such that

and

Then k=….

Let A and B are two events

But

Comparing (1) and (2)

Probability Exercise Fill in the Blanks Question, Question 7.

If two events A and B are mutually exclusive, then

PAB=………… -

You must know about mutually exclusive events

We know

For mutually exclusive events,

Put in

Probability Exercise Fill in the Blanks Question, Question 8.

If A and B are tho enends such that , then

Using

Wit A and B ane two evends.

We are given

We know ,

But ,

Probability Exercise Fill in the Blanks Question, Question 10.

If A and B ave two evends then P(A∩B)=

Use formula .

Let A and B ower two events

Then,

Probability Exercise Fill in the Blanks Question, Question 11.

If A and B are turo events, then the probability of occurrence of A only is equal to ...

Using

Let A and B are two events.

Then P (Only A occurs)

Probability Exercise Fill in the Blanks Question, Question 12.

If A and B are two everts, then the provability of occurrence of exactly one of A and B is equal to ...

Exactly one of the events of ε;A and B is represented by

Hence ,

Probability Exercise Fill in the Blanks Question, Question 13.

For two event A and B, If

and

then A and B are …... events.

Let A and B are two wents.

Also

We know.

Put in (*)

A and B, are independent events.

Probability Exercise Fill in the Blanks Question, Question 14.

Let A and B be the two events for which

, Then

Using

Here

,

We know,

Probability Exercise Fill in the Blanks Question, Question 15.

Ret A

and . If , then x=…

Using

Let A,B,C be pair wise independent events.

So

Also,

From (1) and (2),

We get

Probability Exercise Fill in the Blanks Question, Question 16.

Let A,B,C bo there events such that

P(Exactly one of A and B occurs) =x,

P (Exactly one of B and C occurs) =y

P (Exactly one of A and C occurs )=z.

Then

Using the formula of

Adding these three we get,

We know,

But

Probability Exercise Fill in the Blanks Question, Question 17

If A and B are two events

then, P (exactly one of A and B occurs )=…

Also P( exactly one of A and B occurs) = P( A or B)

Students can view the Rd Sharma Class 12th Exercise FBQ online for free by visiting the website. This particular exercise has 17 questions. The concept discussed here is Independent Events, Mutually exclusive, conditional probability, Union and intersection, Bayes theorem, Random variable, Bernoulli Trials, Binomial Distribution, equivalence between the axiomatic theory and the classical theory of Probability in the case of common likely results. Based on this relationship, we get chances of events associated with discrete sample spaces.

The solved examples and exercise problems in Rd Sharma Class 12 Chapter 30 Exercise FBQ will aid in our understanding of the total probability theorem and Bayes theorem covered in the final exercises. RD Sharma solution Therefore, a student must use Class 12th RD Sharma Chapter 30 Exercise FBQ Solutions for the chapter "Probability" to practice and understand these concepts in a structured manner.

**The benefits of studying from these solutions are:**

The solved examples and exercise problems in Rd Sharma Class 12 Chapter 30 Exercise FBQ will aid in our understanding of the total probability theorem and Bayes theorem covered in the final exercises. Therefore, a student must use Class 12th RD Sharma Chapter 30 Exercise FBQ Solutions for the chapter "Probability" to practice and understand these concepts in a structured manner.

The benefits of studying from these solutions are:

**Crafted by experts:**

RD Sharma Class 12 Solutions Probability Ex. FBQ solutions are crafted by experts who take care of NCERT and CBSE guidelines and format the solutions accordingly. The subject experts give the answers in the most accurate way possible.

**The best material for revision:**

These solutions assist students in quickly grasping concepts and improving their problem-solving abilities. In addition, the RD Sharma Class 12th Solutions Chapter 30 ex FBQ helps students achieve high marks in their board exams due to less time consumed in textbooks.

**NCERT based questions:**

Rd Sharma Class 12th Exercise FBQ solutions are based on the teacher's thoughts. Our experts are aware of a teacher's mind. They know that teachers set questions from NCERT books, and thus they create solutions from NCERT.

**No wastage of time**

When a student refers to these solutions, it is evident that it will take less time than a textbook. Rd Sharma Class 12th Exercise FBQ solutions save a lot of time and thus are an ideal choice for everyone.

**Easy language**

These solutions have straightforward language and are illustrated with examples to teach each point in a very effective manner. As a result, students who are unfamiliar with the chapter can use this material from the start to gain a thorough understanding.

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- Chapter 1 - Relations
- Chapter 2 - Functions
- Chapter 3 - Inverse Trigonometric Functions
- Chapter 4 - Algebra of Matrices
- Chapter 5 - Determinants
- Chapter 6 - Adjoint and Inverse of a Matrix
- Chapter 7 - Solution of Simultaneous Linear Equations
- Chapter 8 - Continuity
- Chapter 9 - Differentiability
- Chapter 10 - Differentiation
- Chapter 11 - Higher Order Derivatives
- Chapter 12 - Derivative as a Rate Measurer
- Chapter 13 - Differentials, Errors and Approximations
- Chapter 14 - Mean Value Theorems
- Chapter 15 - Tangents and Normals
- Chapter 16 - Increasing and Decreasing Functions
- Chapter 17 - Maxima and Minima
- Chapter 18 - Indefinite Integrals
- Chapter 19 - Definite Integrals
- Chapter 20 - Areas of Bounded Regions
- Chapter 21 - Differential Equations
- Chapter 22 - Algebra of Vectors
- Chapter 23 - Scalar Or Dot Product
- Chapter 24 - Vector or Cross Product
- Chapter 25 - Scalar Triple Product
- Chapter 26 - Direction Cosines and Direction Ratios
- Chapter 27 - Straight Line in Space
- Chapter 28 - The Plane
- Chapter 29 - Linear programming
- Chapter 30- Probability
- Chapter 31 - Mean and Variance of a Random Variable

1. Which RD Sharma book is the apt solution guide to refer to the chapter 30 MCQs?

The RD Sharma Class 12th Chapter 30 MCQ is the apt solution guide to refer to the doubts in the Multiple choice questions part in the Probability chapter.

2. How can I download the RD Sharma solution books from the Career 360 website?

The simple way to download the RD Sharma reference book is to visit the Career 360 website, search for the book's name in the search box, and click on the Download option to save the material on your device.

3. Can I find the RD Sharma PDF book on any online website?

The RD Sharma Class 12th Chapter 30 MCQ PDF can be viewed at the Career 360 website.

4. How much should I pay to view the RD Sharma solution books?

The RD Sharma books are completely free to view and download from the Career 360 website. Therefore, there is no requirement to pay any amount of money to access this set of books.

5. Is it easy for the CBSE students to adapt to the RD Sharma solution books?

Every CBSE student feels easy to adapt to the RD Sharma solution books as the NCERT pattern is followed.

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