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CBSE 10th Standard Maths Subject Probability Case Study Questions 2021

By QB365 on 22 May, 2021

QB365 Provides the updated CASE Study Questions for Class 10 Maths, and also provide the detail solution for each and every case study questions . Case study questions are latest updated question pattern from NCERT, QB365 will helps to get  more marks in Exams

QB365 - Question Bank Software

10th Standard CBSE

Final Semester - June 2015

Case Study Questions

case study question on probability

(ii) a monkey

(iii) a teddy bear

(iv) not a monkey 

(v) not a pokemon 

case study question on probability

(ii) If the probability of distributing dark chocolates is 4/9, then the number of dark chocolates Rohit has, is

(iii) The probability of distributing white chocolates is

(iv) The probability of distributing both milk and white chocolates is

(v) The probability of distributing all the chocolates is

In a party, some children decided to play musical chair game. In the game the person playing the music has been advised to stop the music at any time in the interval of 3 mins after he start the music in each turn. On the basis of the given information, answer the following questions. (i) What is the probability that the music will stop within first 30 sees after starting?

(ii) The probability that the music will stop within 45 sees after starting is

(iii) The probability that the music will stop after 2 mins after starting is

(iv) The probability that the music will not stop within first 60 sees after starting is

(v) The probability that the music will stop within first 82 sees after starting is

case study question on probability

(ii) The probability of getting exactly 1 head is

(iii) The probability of getting exactly 3 tails is 

(iv) The probability of getting atmost 3 heads is 

(v) The probability of getting atleast two heads is

case study question on probability

(ii) not of yellow colour

(iii) of green colour

(iv) of yellow colour 

(v) not of blue colour 

*****************************************

Cbse 10th standard maths subject probability case study questions 2021 answer keys.

Total number of puppets in claw crane = 58 + 42 + 36 + 64 = 200 (i) (b): P(picking a tiger) =  \(\begin{equation} \frac{36}{200}=\frac{9}{50} \end{equation}\) (ii) (a): P(picking a monkey) =  \(\begin{equation} \frac{64}{200}=\frac{8}{25} \end{equation}\) (iii) (c) : P(picking a teddy bear) =  \(\begin{equation} \frac{58}{200}=\frac{29}{100} \end{equation}\) (iv) (d) : P(not picking a monkey) = 1 - P(picking a monkey) \(\begin{equation} =1-\frac{8}{25}=\frac{17}{25} \end{equation}\) (v) (d): P(picking a pokemon) =  \(\begin{equation} \frac{42}{200}=\frac{21}{100} \end{equation}\) P(not picking a pokemon) = 1 - P(picking a pokemon) \(\begin{equation} =1-\frac{21}{100}=\frac{79}{100} \end{equation}\)

Since, every student get one chocolate. So, number of chocolates Rohit has is equal to the number of students in the class. (i) (a): Let number of milk chocolates Rohit has = x Probability of distributing milk chocolates =  \(\begin{equation} \frac{1}{3} \end{equation}\) \(\begin{equation} \Rightarrow \frac{x}{54}=\frac{1}{3} \Rightarrow x=\frac{54}{3}=18 \end{equation}\) (ii) (c): Let number of dark chocolates Rohit has = y Probability of distributing dark chocolates =  \(\begin{equation} \frac{4}{9} \end{equation}\) \(\begin{equation} \Rightarrow \frac{y}{54}=\frac{4}{9} \Rightarrow y=\frac{4 \times 54}{9}=24 \end{equation}\) (iii) (d) : Number of white chocolates Rohit has = 54 -(18 + 24) = 12 Required probability =  \(\begin{equation} \frac{12}{54}=\frac{2}{9} \end{equation}\) (iv) (b) : Total number of milk and white chocolates = 18 + 12 = 30 Required probability =  \(\begin{equation} \frac{30}{54}=\frac{5}{9} \end{equation}\) (v) (b): Since all students gets one chocolate. So, total number of chocolates distributed = 54 \(\begin{equation} \text { Required probability }=\frac{54}{54}=1 \end{equation}\)

Total time = 3 mins = 3 x 60 sees = 180 secs (i) (a): Required probability =  \(\begin{equation} \frac{30}{180}=\frac{1}{6} \end{equation}\) (ii) (a): Required probability =  \(\begin{equation} \frac{45}{180}=\frac{1}{4} \end{equation}\) (iii) (d) : P(music will stop within 2 mins) =  \(\begin{equation} \frac{120}{180}=\frac{2}{3} \end{equation}\) P(music will stop after 2 mins) =  \(\begin{equation} 1-\frac{2}{3}=\frac{1}{3} \end{equation}\) (iv) (b) : Required probability = 1 - P(music will stop within first 60 secs) \(\begin{equation} =1-\frac{60}{180}=1-\frac{1}{3}=\frac{2}{3} \end{equation}\) (v) (b): Required probability =  \(\begin{equation} \frac{82}{180}=\frac{41}{90} \end{equation}\)

Sample space (5) = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT} \(\Rightarrow\) n(5) = 8 (i) (c): Let A be the event of getting atmost one tail.  A = {HHH, HHT, HTH, THH} \(\Rightarrow\) n(A) = 4 Required probability =  \(\begin{equation} \frac{4}{8}=\frac{1}{2} \end{equation}\) (ii) (d ): Let B be the event of getting exactly 1 head. B = {HTT, THT, TTH} \(\Rightarrow\)  n(B) = 3 Required probability =  \(\begin{equation} \frac{3}{8} \end{equation}\) (iii) (d) : Let C be the event of getting exactly 3 tails. C = {TTT}  \(\Rightarrow\)  n( C) = 1 Required probability =  \(\begin{equation} \frac{1}{8} \end{equation}\) \(\begin{equation} \frac{1}{8} \end{equation}\) \(\begin{equation} \frac{1}{8} \end{equation}\) \(\begin{equation} \frac{1}{8} \end{equation}\) (iv) (b) : Let D be the event of getting atmost 3 heads. D = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT} \(\Rightarrow\) n(D) = 8 Required probability =  \(\begin{equation} \frac{8}{8}=1 \end{equation}\) (v) (c): Let E be the event of getting atleast two heads. E = {HHT, HTH, THH, HHH} \(\Rightarrow\) n(E) = 4 Required probability =  \(\begin{equation} \frac{n(E)}{n(S)}=\frac{4}{8}=\frac{1}{2} \end{equation}\)

Total number of blocks in the kit = 120 Number of red blocks = 40 Number of blue blocks = 25 Number of green blocks = 30 Number of yellow blocks = 120 - (40 + 25 + 30) = 120 - 95 = 25 (i) (d): P(block is red)  \(\begin{equation} =\frac{40}{120}=\frac{1}{3} \end{equation}\) (ii) (c): P(block is not yellow) = 1 - P(block is yellow) \(\begin{equation} =1-\frac{25}{120}=1-\frac{5}{24}=\frac{19}{24} \end{equation}\) (iii) (c) : P(block is green) =  \(\begin{equation} \frac{30}{120}=\frac{1}{4} \end{equation}\) (iv) (b) : P(block is yellow) =  \(\begin{equation} \frac{5}{24} \end{equation}\) (v) (b): P(block is not blue) = 1 - P(block is blue) \(\begin{equation} =1-\frac{25}{120}=1-\frac{5}{24}=\frac{19}{24} \end{equation}\)

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CBSE Class 10 Maths: Case Study Questions of Chapter 15 Probability PDF Download

Case study Questions in the Class 10 Mathematics Chapter 15  are very important to solve for your exam. Class 10 Maths Chapter 15 Case Study Questions have been prepared for the latest exam pattern. You can check your knowledge by solving case study-based   questions for Class 10 Maths Chapter 15  Probability

case study question on probability

In CBSE Class 10 Maths Paper, Students will have to answer some questions based on  Assertion and Reason . There will be a few questions based on case studies and passage-based as well. In that, a paragraph will be given, and then the MCQ questions based on it will be asked.

Probability Case Study Questions With answers

Here, we have provided case-based/passage-based questions for Class 10 Maths  Chapter 15 Probability

Case Study/Passage-Based Questions

Question 1:

case study question on probability

Answer: (a) 18

(ii) If the probability of distributing dark chocolates is 4/9, then the number of dark chocolates Rohit has, is

Answer: (c) 24

(iii) The probability of distributing white chocolates is

Answer: (d) 2/9

(iv) The probability of distributing both milk and white chocolates is

Answer: (b) 5/9

(v) The probability of distributing all the chocolates is

Answer: (b) 1

Question 2:

Rahul and Ravi planned to play Business ( board game) in which they were supposed to use two dice.

case study question on probability

1. Ravi got first chance to roll the dice. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is 8?

Answer: b) 5/36

2. Rahul got next chance. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is 13?

Answer: d) 0

3. Now it was Ravi’s turn. He rolled the dice. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is less than or equal to 12?

Answer: a) 1

4. Rahul got next chance. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is equal to 7?

Answer: c) 1/6

5. Now it was Ravi’s turn. He rolled the dice. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is greater than 8?

Answer: d) 5/18

Hope the information shed above regarding Case Study and Passage Based Questions for Class 10 Maths Chapter 15 Probability with Answers Pdf free download has been useful to an extent. If you have any other queries about CBSE Class 10 Maths Probability Case Study and Passage Based Questions with Answers, feel free to comment below so that we can revert back to us at the earliest possible By Team Study Rate

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Class 9 Maths Case Study Questions of Chapter 15 Probability PDF Download

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Case study Questions in Class 9 Mathematics Chapter 15  are very important to solve for your exam. Class 9 Maths Chapter 15 Case Study Questions have been prepared for the latest exam pattern. You can check your knowledge by solving case Class 9 Maths Case Study Questions Chapter 15 Probability

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These case study questions challenge students to apply their knowledge of quadrilaterals in practical scenarios, enhancing their problem-solving abilities. This article provides the Class 9 Maths Case Study Questions of Chapter 15 Probability, enabling students to practice and excel in their examinations.

Probability Case Study Questions With Answers

Here, we have provided case-based/passage-based questions for Class 9 Maths Chapter 15 Probability

Case Study/Passage-Based Questions

Case Study 1: A jeweler has different types of bracelets in his shop. Sunita wants to purchase a bracelet for her sister’s birthday gift. When Sunita goes to the shop, she founds the following data which represents the number of bracelets of different types in the shop.

case study question on probability

Find the probability that Sunita chooses Chain Bracelet. (a) 23/180 (b) 37/180 (c) 37/90 (d) 23/90

Answer: (b) 37/180

Find the probability that she chooses Pearl bracelet. (a) 23/180 (b) 37/180 (c) 37/90 (d) 23/90

Answer: (d) 23/90

What is the probability of a sure event? (a) 1 (b) 0 (c) 1/2 (d) 2/3

Answer: (a) 1

What is the probability that she chooses neither Bangle bracelet nor Pearl bracelet? (a) 23/180 (b) 45/180 (c) 109/180 (d) 23/45

Answer: (c) 109/180

What is the probability that Sunita purchased a Cuff bracelet? (a) 6/17(b)2/13 (c) 1 (d) 2/15

Answer: (d) 2/15

Case Study 2: In a factory, the workers are paid on a daily basis. The new manager wants to know the salary slab of the workers and finds the data given below.

case study question on probability

Now, if a worker is chosen at random, then :

The probability that the worker is getting at most ₹ 500 is (a) 3/80 (b) 9/80 (c) 1/80 (d) 4/25

Answer: (b) 9/80

The probability that the worker is getting at least ₹ 701 is (a) 23/80 (b) 43/80 (c) 41/80 (d) 61/80

Answer: (b) 43/80

Probability that the worker is getting at most ₹ 900 is (a)7/40 (b) 3/31 (c) 31/40 (d) 4/31

Answer: (c) 31/40

Case Study 3: A group of students is studying probability in their math class. They encountered the following scenario:

Rajesh and Aisha decided to conduct an experiment with a deck of playing cards to understand the concept of probability. They made the following observations:

  • Rajesh drew a card from a standard deck of 52 playing cards and found that it was a spade.
  • Aisha drew a card from the same deck and found that it was a face card (king, queen, or jack).

Based on this information, the students were asked to analyze the probabilities of their respective outcomes. Let’s see if you can answer the questions correctly:

MCQ Questions:

Q1. The probability of drawing a spade card, as observed by Rajesh, is: (a) 1/4 (b) 1/13 (c) 1/52 (d) Cannot be determined

Answer: (a) 1/4

Q2. The probability of drawing a face card, as observed by Aisha, is: (a) 3/13 (b) 4/13 (c) 1/13 (d) Cannot be determined

Answer: (a) 3/13

Q3. In a standard deck of playing cards, the probability of drawing a spade card is: (a) 1/4 (b) 1/13 (c) 1/52 (d) 1/2

Q4. In a standard deck of playing cards, the probability of drawing a face card is: (a) 3/13 (b) 4/13 (c) 1/13 (d) 1/4

Answer: (b) 4/13

Q5. If Rajesh drew a card and found that it was a spade, what is the probability that it is also a face card? (a) 1/13 (b) 3/13 (c) 1/4 (d) 1/2

Answer: (c) 1/4

Hope the information shed above regarding Case Study and Passage Based Questions for Class 9 Mathematics Chapter 15 Probability with Answers Pdf free download has been useful to an extent. If you have any other queries about CBSE Class 9 Maths Probability Case Study and Passage Based Questions with Answers, feel free to comment below so that we can revert back to us at the earliest possible By Team Study Rate

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Case Study and Passage Based Questions for Class 10 Maths Chapter 15 Probability

  • Last modified on: 1 year ago
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Case Study Questions:

Question 1:

On a weekend Rani was playing cards with her family. The deck has 52 cards. If her brother drew one card.

(i) Find the probability of getting a king of red colour. (a) 1/26 (b) 1/13 (c) 1/52 (d) 1/4

(ii) Find the probability of getting a face card. (a) 1/26 (b) 1/13 (c) 2/13 (d) 3/13

(iii) Find the probability of getting a jack of hearts. (a) 1/26 (b) 1/52 (c) 3/52 (d) 3/26

(iv) Find the probability of getting a red face card. (a) 3/26 (b) 1/13 (c) 1/52 (d) 1/4

(v) Find the probability of getting a spade. (a) 1/26 (b) 1/13 (c) 1/52 (d) 1/4

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  • CBSE Class 10 Study Material

CBSE Class 10 Maths Case Study Questions for Chapter 15 - Probability (Published by CBSE)

Cbse class 10 maths case study questions for chapter 15 - probability are published by the cbse board itself to help students understand the new format of questions. these questions are important for the cbse class 10 maths 2022 board exam preparations..

Gurmeet Kaur

CBSE Class 10 Maths Case Study Questions for Chapter 15 - Probability are provided here. These questions are quite useful to understand how real-life problems can be put in the form of questions. These case study questions are published by the CBSE board. Solve all these questions to prepare for your exams and score the desired marks.

Case Study Questions for Class 10 Maths Chapter 15 - Probability:

CASE STUDY 1:

On a weekend Rani was playing cards with her family. The deck has 52 cards. If her brother drew one card.

case study question on probability

1. Find the probability of getting a king of red colour.

Answer: a) 1/26

2. Find the probability of getting a face card.

Answer: d) 3/13

3. Find the probability of getting a jack of hearts.

4. Find the probability of getting a jack of hearts.

Answer: a) 3/13

5. Find the probability of getting a jack of hearts.

Answer: d) 1/4

CASE STUDY 2:

Rahul and Ravi planned to play Business ( board game) in which they were supposed to use two dice.

case study question on probability

1. Ravi got first chance to roll the dice. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is 8?

Answer: b) 5/36

2. Rahul got next chance. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is 13?

Answer: d) 0

3. Now it was Ravi’s turn. He rolled the dice. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is less than or equal to 12?

Answer: a) 1

4. Rahul got next chance. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is equal to 7?

Answer: c) 1/6

5. Now it was Ravi’s turn. He rolled the dice. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is greater than 8?

Answer: d) 5/18

Also Check:

CBSE Case Study Questions for Class 10 Maths - All Chapters

Tips to Solve Case Study Based Questions Accurately

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CBSE Case Study Questions for Class 10 Maths Probability Free PDF

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Mere Bacchon, you must practice the CBSE Case Study Questions Class 10 Maths Probability  in order to fully complete your preparation . They are very very important from exam point of view. These tricky Case Study Based Questions can act as a villain in your heroic exams!

I have made sure the questions (along with the solutions) prepare you fully for the upcoming exams. To download the latest CBSE Case Study Questions , just click ‘ Download PDF ’.

CBSE Case Study Questions for Class 10 Maths Probability PDF

Checkout our case study questions for other chapters.

  • Chapter 11: Construction Case Study Questions
  • Chapter 12: Area Related to Circles Case Study Questions
  • Chapter 13: Surface Area and Volumes Case Study Questions
  • Chapter 14: Statistics Case Study Questions

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Case Study on Probability Class 12 Maths PDF

The passage-based questions are commonly known as case study questions. Students looking for Case Study on Probability Class 12 Maths can use this page to download the PDF file. 

The case study questions on Probability are based on the CBSE Class 12 Maths Syllabus, and therefore, referring to the Probability case study questions enable students to gain the appropriate knowledge and prepare better for the Class 12 Maths board examination. Continue reading to know how should students answer it and why it is essential to solve it, etc.

Case Study on Probability Class 12 Maths with Solutions in PDF

Our experts have also kept in mind the challenges students may face while solving the case study on Probability, therefore, they prepared a set of solutions along with the case study questions on Probability.

The case study on Probability Class 12 Maths with solutions in PDF helps students tackle questions that appear confusing or difficult to answer. The answers to the Probability case study questions are very easy to grasp from the PDF - download links are given on this page.

Why Solve Probability Case Study Questions on Class 12 Maths?

There are three major reasons why one should solve Probability case study questions on Class 12 Maths - all those major reasons are discussed below:

  • To Prepare for the Board Examination: For many years CBSE board is asking case-based questions to the Class 12 Maths students, therefore, it is important to solve Probability Case study questions as it will help better prepare for the Class 12 board exam preparation.
  • Develop Problem-Solving Skills: Class 12 Maths Probability case study questions require students to analyze a given situation, identify the key issues, and apply relevant concepts to find out a solution. This can help CBSE Class 12 students develop their problem-solving skills, which are essential for success in any profession rather than Class 12 board exam preparation.
  • Understand Real-Life Applications: Several Probability Class 12 Maths Case Study questions are linked with real-life applications, therefore, solving them enables students to gain the theoretical knowledge of Probability as well as real-life implications of those learnings too.

How to Answer Case Study Questions on Probability?

Students can choose their own way to answer Case Study on Probability Class 12 Maths, however, we believe following these three steps would help a lot in answering Class 12 Maths Probability Case Study questions.

  • Read Question Properly: Many make mistakes in the first step which is not reading the questions properly, therefore, it is important to read the question properly and answer questions accordingly.
  • Highlight Important Points Discussed in the Clause: While reading the paragraph, highlight the important points discussed as it will help you save your time and answer Probability questions quickly.
  • Go Through Each Question One-By-One: Ideally, going through each question gradually is advised so, that a sync between each question and the answer can be maintained. When you are solving Probability Class 12 Maths case study questions make sure you are approaching each question in a step-wise manner.

What to Know to Solve Case Study Questions on Class 12 Probability?

 A few essential things to know to solve Case Study Questions on Class 12 Probability are -

  • Basic Formulas of Probability: One of the most important things to know to solve Case Study Questions on Class 12 Probability is to learn about the basic formulas or revise them before solving the case-based questions on Probability.
  • To Think Analytically: Analytical thinkers have the ability to detect patterns and that is why it is an essential skill to learn to solve the CBSE Class 12 Maths Probability case study questions.
  • Strong Command of Calculations: Another important thing to do is to build a strong command of calculations especially, mental Maths calculations.

Where to Find Case Study on Probability Class 12 Maths?

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Now, CBSE will ask only subjective questions in class 10 Maths case studies. But if you search over the internet or even check many books, you will get only MCQs in the class 10 Maths case study in the session 2022-23. It is not the correct pattern. Just beware of such misleading websites and books.

We advise you to visit CBSE official website ( cbseacademic.nic.in ) and go through class 10 model question papers . You will find that CBSE is asking only subjective questions under case study in class 10 Maths. We at myCBSEguide helping CBSE students for the past 15 years and are committed to providing the most authentic study material to our students.

Here, myCBSEguide is the only application that has the most relevant and updated study material for CBSE students as per the official curriculum document 2022 – 2023. You can download updated sample papers for class 10 maths .

First of all, we would like to clarify that class 10 maths case study questions are subjective and CBSE will not ask multiple-choice questions in case studies. So, you must download the myCBSEguide app to get updated model question papers having new pattern subjective case study questions for class 10 the mathematics year 2022-23.

Class 10 Maths has the following chapters.

  • Real Numbers Case Study Question
  • Polynomials Case Study Question
  • Pair of Linear Equations in Two Variables Case Study Question
  • Quadratic Equations Case Study Question
  • Arithmetic Progressions Case Study Question
  • Triangles Case Study Question
  • Coordinate Geometry Case Study Question
  • Introduction to Trigonometry Case Study Question
  • Some Applications of Trigonometry Case Study Question
  • Circles Case Study Question
  • Area Related to Circles Case Study Question
  • Surface Areas and Volumes Case Study Question
  • Statistics Case Study Question
  • Probability Case Study Question

Format of Maths Case-Based Questions

CBSE Class 10 Maths Case Study Questions will have one passage and four questions. As you know, CBSE has introduced Case Study Questions in class 10 and class 12 this year, the annual examination will have case-based questions in almost all major subjects. This article will help you to find sample questions based on case studies and model question papers for CBSE class 10 Board Exams.

Maths Case Study Question Paper 2023

Here is the marks distribution of the CBSE class 10 maths board exam question paper. CBSE may ask case study questions from any of the following chapters. However, Mensuration, statistics, probability and Algebra are some important chapters in this regard.

Case Study Question in Mathematics

Here are some examples of case study-based questions for class 10 Mathematics. To get more questions and model question papers for the 2021 examination, download myCBSEguide Mobile App .

Case Study Question – 1

In the month of April to June 2022, the exports of passenger cars from India increased by 26% in the corresponding quarter of 2021–22, as per a report. A car manufacturing company planned to produce 1800 cars in 4th year and 2600 cars in 8th year. Assuming that the production increases uniformly by a fixed number every year.

  • Find the production in the 1 st year.
  • Find the production in the 12 th year.
  • Find the total production in first 10 years. OR In which year the total production will reach to 15000 cars?

Case Study Question – 2

In a GPS, The lines that run east-west are known as lines of latitude, and the lines running north-south are known as lines of longitude. The latitude and the longitude of a place are its coordinates and the distance formula is used to find the distance between two places. The distance between two parallel lines is approximately 150 km. A family from Uttar Pradesh planned a round trip from Lucknow (L) to Puri (P) via Bhuj (B) and Nashik (N) as shown in the given figure below.

  • Find the distance between Lucknow (L) to Bhuj(B).
  • If Kota (K), internally divide the line segment joining Lucknow (L) to Bhuj (B) into 3 : 2 then find the coordinate of Kota (K).
  • Name the type of triangle formed by the places Lucknow (L), Nashik (N) and Puri (P) OR Find a place (point) on the longitude (y-axis) which is equidistant from the points Lucknow (L) and Puri (P).

Case Study Question – 3

  • Find the distance PA.
  • Find the distance PB
  • Find the width AB of the river. OR Find the height BQ if the angle of the elevation from P to Q be 30 o .

Case Study Question – 4

  • What is the length of the line segment joining points B and F?
  • The centre ‘Z’ of the figure will be the point of intersection of the diagonals of quadrilateral WXOP. Then what are the coordinates of Z?
  • What are the coordinates of the point on y axis equidistant from A and G? OR What is the area of area of Trapezium AFGH?

Case Study Question – 5

The school auditorium was to be constructed to accommodate at least 1500 people. The chairs are to be placed in concentric circular arrangement in such a way that each succeeding circular row has 10 seats more than the previous one.

  • If the first circular row has 30 seats, how many seats will be there in the 10th row?
  • For 1500 seats in the auditorium, how many rows need to be there? OR If 1500 seats are to be arranged in the auditorium, how many seats are still left to be put after 10 th row?
  • If there were 17 rows in the auditorium, how many seats will be there in the middle row?

Case Study Question – 6

case study question on probability

  • Draw a neat labelled figure to show the above situation diagrammatically.

case study question on probability

  • What is the speed of the plane in km/hr.

More Case Study Questions

We have class 10 maths case study questions in every chapter. You can download them as PDFs from the myCBSEguide App or from our free student dashboard .

As you know CBSE has reduced the syllabus this year, you should be careful while downloading these case study questions from the internet. You may get outdated or irrelevant questions there. It will not only be a waste of time but also lead to confusion.

Here, myCBSEguide is the most authentic learning app for CBSE students that is providing you up to date study material. You can download the myCBSEguide app and get access to 100+ case study questions for class 10 Maths.

How to Solve Case-Based Questions?

Questions based on a given case study are normally taken from real-life situations. These are certainly related to the concepts provided in the textbook but the plot of the question is always based on a day-to-day life problem. There will be all subjective-type questions in the case study. You should answer the case-based questions to the point.

What are Class 10 competency-based questions?

Competency-based questions are questions that are based on real-life situations. Case study questions are a type of competency-based questions. There may be multiple ways to assess the competencies. The case study is assumed to be one of the best methods to evaluate competencies. In class 10 maths, you will find 1-2 case study questions. We advise you to read the passage carefully before answering the questions.

Case Study Questions in Maths Question Paper

CBSE has released new model question papers for annual examinations. myCBSEguide App has also created many model papers based on the new format (reduced syllabus) for the current session and uploaded them to myCBSEguide App. We advise all the students to download the myCBSEguide app and practice case study questions for class 10 maths as much as possible.

Case Studies on CBSE’s Official Website

CBSE has uploaded many case study questions on class 10 maths. You can download them from CBSE Official Website for free. Here you will find around 40-50 case study questions in PDF format for CBSE 10th class.

10 Maths Case Studies in myCBSEguide App

You can also download chapter-wise case study questions for class 10 maths from the myCBSEguide app. These class 10 case-based questions are prepared by our team of expert teachers. We have kept the new reduced syllabus in mind while creating these case-based questions. So, you will get the updated questions only.

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  • Class 12 Maths Case Study Questions
  • CBSE Reduced Syllabus Class 10 (2020-21)
  • Class 10 Maths Basic Sample Paper 2024
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Class 10 Maths Chapter 14 Case Based Questions - Probability

Study case - 1.

Class 10 Maths Chapter 14 Case Based Questions - Probability

Q2: The probability of drawing a ball of colour other than green colour is: (a) 0 (b) 4/25 (c) 21/25 (d) 17/25 Ans:  (c) Explanation:  From part (A), number of green balls = 4. ∴ Number of balls of colour other than = 25 − 4 = 21. ∴ Probability of drawing a ball of colour other than green colour = 21/25.

Q3: The probability of drawing either a green or white ball is: (a) 0 (b) 12/25 (c) 13/25 (d) 17/25 Ans: (b) Explanation:  The number of green balls = 4 and number of white balls =8. Therefore, total number of green balls + white balls = 4 + 8 = 12.. ∴ Probability of drawing either a or a white ball = 12/25.

Class 10 Maths Chapter 14 Case Based Questions - Probability

Study Case - 2

Class 10 Maths Chapter 14 Case Based Questions - Probability

Q1: The probability of getting almost one tail is: (a) 0 (b) 1 (c) 1/2 (d) 1/4 Ans:  (c) Explanation:  Sample space (S) = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT} ⇒ n(S) = 8 Let A be the event of getting at most one tail.             ∴ A = {HHH, HHT, HTH, THH} ⇒ n(A) = 4 ∴ Required probability = 4/8 = 1/2

Q2: The probability of getting exactly 1 head is: (a) 1/2 (b) 1/4 (c) 1/8 (d) 3/8 Ans:  (d) Explanation:  Let B be the event of getting exactly 1 head. ∴B = {HTT, THT, TTH} ⇒ n(B) = 3 ∴ Required probability = 3/8 Q3: The probability of getting exactly 3 tails is: (a) 0 (b) 1 (c) 1/4 (d) 1/8 Ans:  (d) Explanation:  Let C be the event of getting exactly 3 tails.                 ∴ C = {TTT} ⇒ n(C) = 1 ∴  Required probability = 1/8 Q4: The probability of getting at most 3 heads is:   (a) 0 (b) 1 (c) 1/2 (d) 1/8 Ans: (b) Explanation:  Let D be the event of getting atmost 3 heads.             ∴ D = {HHH, HHT, HTH, HTT, THH, THT, TTT} ⇒ n(D) = 8 ∴  Required probability = 8/8 = 1.

Q5: The probability of getting at least two heads is: (a) 0 (b) 1 (c) 1/2 (d) 1/4 Ans: (c) Explanation:  Let E be the event of getting at least two heads. ∴E = {HHT, HTH, THH, HHH} ⇒ n(E) = 4 ∴ Required probability = n(E)/n(S) = 4/8 = 1/2.

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  1. CBSE Class 10 Maths Case Study Questions for Chapter 15 ...

    Check Case Study Questions for CBSE Class 10 Maths Chapter 15 - Probability. These questions are published by the CBSE Board and are important for the Class 10 Maths Exam 2021-22. By...

  2. CBSE 10th Standard Maths Probability Case Study Questions

    CBSE 10th Standard Maths Subject Probability Case Study Questions 2021. By QB365 on 22 May, 2021. QB365 Provides the updated CASE Study Questions for Class 10 Maths, and also provide the detail solution for each and every case study questions .

  3. CBSE Class 10 Maths: Case Study Questions of Chapter 15 ...

    You can check your knowledge by solving case study-based questions for Class 10 Maths Chapter 15 Probability. In CBSE Class 10 Maths Paper, Students will have to answer some questions based on Assertion and Reason. There will be a few questions based on case studies and passage-based as well.

  4. Class 9 Maths Case Study Questions of Chapter 15 Probability ...

    These case study questions challenge students to apply their knowledge of quadrilaterals in practical scenarios, enhancing their problem-solving abilities. This article provides the Class 9 Maths Case Study Questions of Chapter 15 Probability, enabling students to practice and excel in their examinations.

  5. Case Study and Passage Based Questions for Class 10 Maths ...

    Case Study Questions: Question 1: On a weekend Rani was playing cards with her family. The deck has 52 cards. If her brother drew one card. (i) Find the probability of getting a king of red colour. (a) 1/26. (b) 1/13. (c) 1/52. (d) 1/4. Show Answer. (ii) Find the probability of getting a face card. (a) 1/26. (b) 1/13. (c) 2/13. (d) 3/13.

  6. CBSE Class 10 Maths Case Study Questions for Chapter 15 ...

    CBSE Class 10 Maths Case Study Questions for Chapter 15 - Probability are provided here. These questions are quite useful to understand how real-life problems can be put in the form of...

  7. CBSE Case Study Questions For Class 10 Maths Probability Free ...

    These Case Study Questions for Class 10 Maths Probability are latest, comprehensive, confidence inspiring, with easy to understand explanation.

  8. Case Study on Probability Class 12 Maths PDF - SelfStudys

    Case Study on Probability Class 12 Maths: Here, you will get Case Study Questions on Class 12 Probability PDF at free of cost. Along with you can also download Probability case study questions for class 12 exercise wise for getting higher marks in board exams.

  9. Case Study Class 10 Maths Questions - myCBSEguide

    Maths Case Study Question Paper 2023. Here is the marks distribution of the CBSE class 10 maths board exam question paper. CBSE may ask case study questions from any of the following chapters. However, Mensuration, statistics, probability and Algebra are some important chapters in this regard. Units.

  10. Class 10 Maths Chapter 14 Case Based Questions - Probability

    The notes and questions for Case Based Questions: Probability have been prepared according to the Class 10 exam syllabus. Information about Case Based Questions: Probability covers topics like Study Case - 1, Study Case - 2 and Case Based Questions: Probability Example, for Class 10 2024 Exam.