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RD Sharma class 12th exercise 30.6 solution is a pretty popular choice for NCERT solutions as deduced from student reviews. We all know that the CBSE syllabus requires a thorough understanding of the NCERT book and the questions given in the book so that they can understand the concepts clearly. Mathematics is a challenging subject that needs to be practised regularly for perfection. The RD Sharma class 12 chapter 30 exercise 30.6 will help the students to master mathematics and ace their exams. It will be the perfect book for last-minute revisions.

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Probability exercise 30.6 question 1

**Answer:****Hint:**

We use the probability formula**Given:**

A bag A contains 5 white and 6 black balls. Another bag B contains 4 white and 3 black balls.**Solution:**

Let

E_{1}=A white ball is transferred bag A to bag B,then drawing the black ball

E_{2}=A black ball is transferred bag A to bag B,then drawing the black ball

A = Ball draw is back

Using total probability theorem

Probability exercise 30.6 question 2

**Answer:****Hint:**

We use the probability formula**Given:**** **Purse 1 = 2 silver ; 4 copper coins

Purse 2 = 4 silver ; 3 copper coins**Solution:**

Let E_{1} be the event of selecting purse 1 and then drawing a silver coin from it

Let E_{2} be the event of selecting purse 2 and then drawing a silver coin from it

Let S be the event of drawing a silver coin

Using total probability theorem

Probability exercise 30.6 question 3

**Answer:****Hint:**

To solve this problem, we use**Given:**

One bag contains 4 yellow and 5 red balls. Another bag contains 6 yellow and 3 red balls.**Solution:**

E_{1} = red bag from 1 to 2

E_{2} = yellow bag from 1 to 2

A = ball is yellow

Total balls in 2nd bag = 10

Using total probability theorem

Probability exercise 30.6 question 4

**Answer:****Hint:**

To solve this we use only white balls and then total probability formula**Given:**

A bag contains 3 white and 2 black balls and another bag contains 2 white and 4 black balls.**Solution:**

Bag 1 → 3W + 2B = 5 Bag 2 → 2W + 4B = 6

Probability exercise 30.6 question 5 **Answer:****Hint:**

To solve this we use total probability formula.**Given:**

Bag I: 1 White,2 black and 3 red balls

Bag II: 2 White,1 black and 1 red balls

Bag III: 4 White,5 black and 3 red balls**Solution:**

E_{1}=Selecting Bag 1

E_{2}=Selecting Bag 2

E_{3}=Selecting Bag 3

A = Drawing a white and a red ball

As one of the bag is selected randomly,

Using total probability theorem

Probability exercise 30.6 question 6

**Answer:****Hint:**

To solve this first we find P(7 or 8) by head then P(7 & 8) by tails then required probability.**Given:**

One coin – Head or Tail

Dice and 11 cards**Solution:**

Sample space of sum of the numbers of an unbiased dice when there will be head

favourable outcome = 7 or 8 (Sum)

n favour = 11

Sample space of eleven cards when there will be tail,

Sample space = {2,3,4,5,6,7,8,9,10,11}

n(S)=11

favourable outcome = {7,8}, n favour = 2

Probability exercise 30.6 question 7

**Answer:**

0.016**Hint:**

To solve this we use the total probability formula.**Given:**

A=production 60%, 2% defective

B=production 40%, 1% defective**Solution:**

Using total probability theorem

Probability exercise 30.6 question 8

**Answer:****Hint:**

To solve this we use total probability formula.**Given:**

Bag A contains 8 white and 7 black balls & Bag B contains 5 white and 4 black balls**Solution:**

E_{1} = Black ball transfer from Bag A to Bag B

E_{2} = White ball transfer from Bag A to Bag B

A = White ball drawn

Using total probability theorem

Probability exercise 30.6 question 9

**Answer:****Hint:**

To solve this we find probability of white ball**Given:**

Bag I contains 4 white and 5 black balls & Bag II contains 3 white and 4 black balls**Solution:**

E_{1} = Black ball transfer from first to second bag

E_{1} = White ball transfer from first to second bag

A = White ball drawn

Using total probability theorem

Probability exercise 30.6 question 10

To solve this we use total probability

Bag 1 → 4 white balls ; 5 black balls

Bag 2 → 6 white balls ; 7 black balls

P ( white ball is drawn ) =

P ( white ball transfer ) x P( white ball is drawn )

Probability exercise 30.6 question 11

**Answer:****Hint:**

To solve this we use**Given:**

An urn contains 10 white and 3 black balls. Another urn contains 3 white and 5 black balls.**Solution:**

E_{1}=2W …{2 white balls are transferred from I to II urn}

E_{2}=2B……{2 black balls are transferred from I to II urn}

E_{3}=1W,1B….{A white ball and a black ball are transferred from I to II urn}

A = White ball drawn

Using total probability theorem

Probability exercise 30.6 question 12

To solve this we make two case and then use total probability formula

Bag 1 – 6R + 8B

Bag 2 – 8R + 6B**Solution:**

Probability exercise 30.6 question 13

**Answer:****Hint:**

To solve this we find the (B_{1}, B_{2} and B_{3}) then use total probability**Given:**** **E_{1}: 50% Production, E_{2}: 25% Production, E_{3}: 25% Production**Solution:**

B_{1} is the event when E_{1} produce bulbs

B_{2} is the event when E_{2} produce bulbs

B_{3} is the event when E_{3} produce bulbs

E event when a defective bulbs is selected

Using total probability theorem,

RD Sharma class 12 solutions Probability 30.6 can be a holy grail for students in their exam preparations. Chapter 30 of the NCERT will teach students about Probability. Exercise 30.6 has 13 questions that cover the concepts of conditional probability, and the Bayes theorem.

**Benefits of class 12 RD Sharma chapter 30 exercise 30.6 solution for students due to the following reasons:-**

The RD Sharma Class 12 Solutions Probability 30.6 reference book is a one-stop solution for every concept in this exercise. Many reputed institutions recommend this set of books for their students.

The solved sums in the RD Sharma Class 12th Exercise 30.6 are updated according to the latest NCERT syllabus. Therefore, the students will gain in-depth knowledge in the topics effortlessly.

The students who prepare for their exams with the RD Sharma Class 12 Solutions Probability 30.6, tend to face their exams with a higher level of confidence.

RD Sharma class 12th exercise 30.6 is an exceptional book for self-practice. Since students need to practice maths daily, they will be able to use these solutions to compare answers and mark themselves at home.

The RD Sharma Class 12th Exercise 30.6 Solutions’ PDF material can be easily accessed from the Career360 website. There is no payment received to view or download this set of solution materials.

- 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

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Download E-book1. Is RD Sharma class 12 chapter 30 exercise 30.6 useful for JEE mains preparations?

The students who are preparing for the JEE mains exam are gifted to be able to access the RD Sharma Class 12 Chapter 30 Exercise 30.6 solution book. The answer key for every sum given in this book will give them clarity regarding the concept.

2. Does RD Sharma class 12 solutions Probability 30.6 have the updated syllabus?

RD Sharma solutions always come with the latest syllabus in accordance with the changes made in the NCERT books. The RD Sharma class 12 solutions Probability 30.6 books will also include the updated syllabus if you download the newest version of their free pdf.

3. Where can I find the RD Sharma class 12 solutions chapter 30 ex 30.6 book?

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4. Who can use RD Sharma class 12th exercise 30.6 solution?

The RD Sharma Class 12th Exercise 30.6 solution books can be used by students to clarify their doubts. Many teachers and tutors also use this set of books to refer to the other methods in which a sum can be solved. Therefore, the RD Sharma Class 12th Exercise 30.6 book is useful for everyone.

5. Can the CBSE board students adapt to the solution given in the RD Sharma books?

The solutions given in the RD Sharma solution books are based on the NCERT syllabus. This stands as a support for the students who are from the CBSE board.

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