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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

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:

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.

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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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?

Use Selfstudys.com to find Case Study on Probability Class 12 Maths. For ease, here is a step-wise procedure to download the Probability Case Study for Class 12 Maths in PDF for free of cost.

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Case Study Class 10 Maths Questions

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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

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

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

• Post author: studyrate
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• Post comments: 0 Comments

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

Join our Telegram Channel, there you will get various e-books for CBSE 2024 Boards exams for Class 9th, 10th, 11th, and 12th.

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.

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.

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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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..

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.

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.

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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Class 10th Maths - Probability Case Study Questions and Answers 2022 - 2023

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Probability case study questions with answer key.

10th Standard CBSE

Final Semester - June 2015

(ii) \(\begin{equation} ₹ \end{equation} \)  20 coin

(iii) not a   \(\begin{equation} ₹ \end{equation} \)  10 coin

(iv) of denomination of atleast   \(\begin{equation} ₹ \end{equation} \) 10. 

(v) of denomination of atmost \(\begin{equation} ₹ \end{equation} \)  5.

(ii) a monkey

(iii) a teddy bear

(iv) not a monkey 

(v) not a pokemon 

(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

(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

(ii) not of yellow colour

(iii) of green colour

(iv) of yellow colour 

(v) not of blue colour 

Rahul goes to a fete in Mussoorie. There he saw a game having prizes - wall clocks, power banks, puppets and water bottles. The game consists of a box having cards inside it, bearing the numbers 1 to 200, one on each card. A person has to select a card at random. Now, the winning of prizes has the following conditions:

• Wall clock - If the number on the selected card is a perfect square.
• Power bank - If the number on the selected card is multiple of 3.
• Puppet - If the number on selected card is divisible by 10.
• Water bottle - If the number on the selected card is a prime number more than 100 but less than 150.
• Better luck next time - If the number on the selected card is a perfect cube.

(ii) The probability of winning a water bottle is

(iii) The probability of winning a power bank is

(iv) The probability of winning a wall clock is

(v) The probability of getting 'Better Luck next time' is

(ii) The probability of selecting a flowerhorn fish is

(iii) The probability of not selecting a koi fish is

(iv) The probability of selecting neither angle fish nor flowerhorn fish is 

(v) The probability of selecting a guppy fish is 

 (ii) The probability of getting the sum of numbers on two dice is 16, is

(iii) The probability that both the numbers are prime numbers, is

(iv) The probability that product of two numbers is odd, is|

(v) The probability that difference between numbers is zero, is 

(ii) The probability of getting a black diamond is

(iii) The probability of getting a face card is

(iv) The probability of getting a club is

(v) The probability of getting a red card is

(ii) If Anita spins the wheel, then the probability of getting no prize is

(iii) Anshu spins the wheel, the probability that the wheel stops at soccer ball is

(iv) The probability that one customer wins 15% discount is

(v) The probability of getting a free spin is 

(ii) A football is selected at random, the probability of selecting a non-defective football is

(iii) The total number of defective footballs produced in one day is

(iv) The total number of non-defective footballs produced in one day is 

(v) If the probability of selecting a defective football is , then the number of non-defective footballs produced in one day, if everyday same number of footballs produced in the factory, is 

(ii) The probability that Gupta's has atleast 1 boy is

(iii) The probability that Gupta's has atmost 1 girl is

(iv) The probability that Singhal's has no boy is

(v) The sum of probabilities that both families have exactly two girls is

(ii) The probability that the selected carton is not of orange juice is

(iii) The probability of selecting a carton of guava juice is

(iv) Vishal buys 4 cartons of apple juice, 3 cartons of orange juice and 3 cartons of guava juice. A customer comes to Vishal's shop and picks a tetrapack of juice at random. The probability that the customer picks a guava juice, if each carton has 10 tetrapacks of juice, is 

(v) If the storekeeper bought 14 more cartons of apple juice, then the probability of selecting a tetrapack of apple juice from the store is 

In the month of May, the weather forecast department gives the prediction of weather for the month of June, The given table shows the probabilities of forecast of different days:

(ii) If the number of cloudy days in June is 5, then x =

(iii) The probability that the day is not rainy is

(iv) If the sum of x < and y is  \(\begin{equation} \frac{3}{10} \end{equation}\) , then the number of rainy days in June is

(v) Find the number of partially cloudy days

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Case Based Questions (MCQ)

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Question 1 - Case Based Questions (MCQ) - Chapter 13 Class 12 Probability

Last updated at April 16, 2024 by Teachoo

A coach is training 3 players. He observes that the player A can hit a target 4 times in 5 shots, player B can hit 3 times in 4 shots and the player C can hit 2 times in 3 shots.

From this situation answer the following:.

Let the target is hit by A, B and C. Then, the probability that A, B and, C all will hit, is

(a) 4/5 , (b) 3/5 , (c) 2/5 .

Referring to (i), what is the probability that B, C will hit and A will lose?

(a) 1/10 , (b) 3/10 , (c) 7/10 .

With reference to the events mentioned in (i), what is the probability that ‘any two of A, B and C will hit?

(a) 1/30 , (b) 11/30 , (c) 17/30 .

What is the probability that ‘none of them will hit the target’?

(b) 1/60 , (c) 1/15 .

What is the probability that at least one of A, B or C will hit the target?

(a) 59/60 , (b) 2/5 , (c) 3/5 .

Question A coach is training 3 players. He observes that the player A can hit a target 4 times in 5 shots, player B can hit 3 times in 4 shots and the player C can hit 2 times in 3 shots. From this situation answer the following:P(A) = Probability of A hitting the target = 𝟒/𝟓 P(B) = Probability of B hitting the target = 𝟑/𝟒 P(C) = Probability of C hitting the target = 𝟐/𝟑 Question 1 Let the target is hit by A, B and C. Then, the probability that A, B and, C all will hit, is (a) 4/5 (b) 3/5 (c) 2/5 (d) 1/5P(all hit) = Probability A will hit × Probability B will hit × Probability C will hit = 4/5 × 3/4 × 2/3 = 𝟐/𝟓 So, the correct answer is (c) Question 2 Referring to (i), what is the probability that B, C will hit and A will lose? (a) 1/10 (b) 3/10 (c) 7/10 (d) 4/10P(B and C will hit and A will lose) = Probability A will not hit × Probability B will hit × Probability C will hit = (𝟏−𝟒/𝟓)"×" 𝟑/𝟒 × 𝟐/𝟑 = 1/5 × 3/4 × 2/3 = 𝟏/𝟏𝟎 So, the correct answer is (a) Question 3 With reference to the events mentioned in (i), what is the probability that ‘any two of A, B and C will hit? (a) 1/30 (b) 11/30 (c) 17/30 (d) 13/30 P(any two will hit) = P(A will not hit) × P(B will hit) × P(C will hit) + P(A will hit) × P(B will not hit) × P(C will hit) + P(A will hit) × P(B will hit) × P(C will not hit) = (1−4/5)"×" 3/4 × 2/3 + 4/5 "×" (1−3/4)× 2/3 +4/5 "×" 3/4 × (1−2/3) = 1/5 "×" 3/4 × 2/3 + 4/5 "×" 1/4 × 2/3 +4/5 "×" 3/4 × 1/3 = 1/10+2/15+1/5 = 𝟏𝟑/𝟑𝟎 So, the correct answer is (d) Question 4 What is the probability that ‘none of them will hit the target’? (a) 1/30 (b) 1/60 (c) 1/15 (d) 2/15P(none will hit) = Probability A will not hit × Probability B will not hit × Probability C will not hit = (𝟏−𝟒/𝟓) × (𝟏−𝟑/𝟒)×(𝟏−𝟐/𝟑) = 1/5×1/4×1/3 = 𝟏/𝟔𝟎 So, the correct answer is (b) Question 5 What is the probability that at least one of A, B or C will hit the target? (a) 59/60 (b) 2/5 (c) 3/5 (d) 1/60P( at least one will hit) = P(exactly one will hit) + P(exactly two will hit) + P(all will hit) P(exactly one will hit) P(exactly one will hit) = P(A will hit)×P(B will not hit) × P(C will not hit) + P (A will not hit) × P (B will hit) × P (C will not hit) + P (A will not hit)× P (B will not hit) × P (C will hit) = 4/5×(1−3/4)×(1−2/3) +(1−4/5)×3/4×(1−2/3) +(1−4/5)×(1−3/4)×2/3= 4/5 "×" 1/4 × 1/3 + 1/5 "×" 3/4× 1/3 +1/5 "×" 1/4 × 2/3 = 1/15+1/20+1/30 = 𝟗/𝟔𝟎P(exactly two will hit) This is calculated in Question 3 P(exactly two will hit) = 𝟏𝟑/𝟑𝟎 P(all will hit) This is calculated in Question 1 P(all will hit) = 𝟐/𝟓Now, P(at least one will hit) = P(exactly one will hit) + P(exactly two will hit) + P(all will hit) = 9/60+13/30+2/5 = 𝟓𝟗/𝟔𝟎 So, the correct answer is (a)

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Case Study Questions for Class 12 Maths Chapter 13 Probability

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[PDF] Download Case Study Questions for Class 12 Maths Chapter 13 Probability

Here we are providing case study questions for class 12 maths. In this article, we are sharing Class 12 Maths Chapter 13 Probability case study questions. All case study questions of class 12 maths are solved so that students can check their solutions after attempting questions.

Case Study Questions for Class 12 Maths

Case study questions are a type of question that is commonly used in academic and professional settings to evaluate a person’s ability to analyze, interpret, and solve problems based on a given scenario or case study.

Typically, a case study question presents a real-world situation or problem that requires the individual to apply their knowledge and skills to identify the issues, consider various solutions, and recommend a course of action.

Case study questions are designed to test critical thinking skills, problem-solving abilities, and the capacity to work through complex and ambiguous situations.

Preparing for case study questions involves developing a deep understanding of the subject matter, being able to analyze and synthesize information quickly, and being able to communicate ideas clearly and effectively.

Importance of Solving Case Study Questions for Class 12 Maths

Solving case study questions for Class 12 Maths is extremely important as it provides students with an opportunity to apply the mathematical concepts they have learned to real-world scenarios. These questions present a situation or problem that requires students to use their problem-solving skills and critical thinking abilities to arrive at a solution.

The importance of solving case study questions for Class 12 Maths can be summarized as follows:

• Enhances problem-solving skills: Case study questions challenge students to think beyond textbook examples and apply their knowledge to real-world situations. This enhances their problem-solving skills and helps them develop a deeper understanding of the mathematical concepts.
• Improves critical thinking abilities: Case study questions require students to analyze and evaluate information, and draw conclusions based on their understanding of the situation. This helps them develop their critical thinking abilities, which are essential for success in many areas of life.
• Helps in retaining concepts: Solving case study questions helps students retain the concepts they have learned for a longer period of time. This is because they are more likely to remember the concepts when they have applied them to a real-world situation.
• Better preparation for exams: Many competitive exams, including the Class 12 Maths board exam, contain case study questions. Solving these questions helps students become familiar with the format of the questions and the skills required to solve them, which can improve their performance in exams.

In conclusion, solving case study questions for Class 12 Maths is important as it helps students develop problem-solving and critical thinking skills, retain concepts better, and prepare for exams.

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Case Based Questions Test: Probability - Class 10 MCQ

10 questions mcq test - case based questions test: probability, read the following text and answer the following questions on the basis of the same: on a weekend rani was playing cards with her family. the deck has 52 cards.if her brother drew one card. q. find the probability of getting a king of red colour .

No. of cards of a king of red colour = 2

Total no. of cards = 52

Probability of getting a king of red colour

= No. of king of red colour/Total number of cards

= 2/52 = 1/26

Read the following text and answer the following questions on the basis of the same: On a weekend Rani was playing cards with her family. The deck has 52 cards.If her brother drew one card. Find the probability of getting a face card.

Face cards are King, Queen and Jack

Each type has 4 cards

Total number of face cards = 3 x 4 = 12

P (getting a face card) = Number of face cards/Total number of card

Read the following text and answer the following questions on the basis of the same: On a weekend Rani was playing cards with her family. The deck has 52 cards.If her brother drew one card. Find the probability of getting a jack of hearts.

We have 4 Jack cards

Total number of Jack of hearts = 1

P (getting a face card) = Number of jack of heart cards/Total number of cards

Read the following text and answer the following questions on the basis of the same:

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

Find the probability of getting a red face card.

No. of red face card = 6

Total no of cards = 52

Probability of getting a face card

= No. of red face cards/Total no. of cards

= 6/52 = 3/26

Find the probability of getting a spade.

No. of spade card = 13

Probability of getting a spade card

= No. of spade cards/Total no. of cards

= 13/52 = 1/4

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

Ravi got the 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?

= (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)

(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)

(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)

(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)

(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)

(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)

Total outcomes = 36

No. of outcomes when the sum is 8 = 5

Probability = 5/36

Rahul got the 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?

Probability = 0/35 = 0

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 ?

probability = 36/36 = 1

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 ?

Number of outcomes where sum is 7 = 6

Probability that sum of two numbers is 7

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 ?

Number of outcomes where sum is greater than 8

= 4 + 3 + 2 + 1

Probability that sum of two numbers is greater than 8

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CBSE Case Study Questions for Class 10 Maths Probability Free PDF

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

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Conditional Probability Practice Question

Conditional probability is a measure of the probability of an event occurring given that another event has already occurred. It is denoted by P(A∣B), which is read as “the probability of A given B.” In simple words, conditional probability is like figuring out the chances of something happening given that something else has already happened. It’s like updating your guess based on new information.

Imagine you’re in a candy store that has 100 candies: 30 are chocolate, and 70 are fruit candies. If you know you picked a candy but didn’t see what it was, the chance of it being chocolate is 30 out of 100, or 30%.

Now, suppose someone tells you that the candy you picked is in a blue wrapper, and only chocolate candies have blue wrappers. Given this new information, you now know for sure that the candy you picked is chocolate.

In this article, we will discuss the various question on Conditional Probability.

Important Formulas on Conditional Probability

The below table represents the different conditional probability formulas.

Solved Questions Conditional Probability with Solution

Q1: if p(a) = 0.3, p(b) = 0.7 and p(a∩b) = 0.1 then find p(a/b) and p(b / a)..

Given: P(A) = 0.3, P(B) = 0.7 and P(A∩B) = 0.1 Thus, P(A / B) = P(A∩B) / P(B) ⇒ P(A / B) = 0.1 / 0.7 ⇒ P(A / B) = 1 / 7 and P(B / A) = P(A∩B) / P(A) ⇒ P(B / A) = 0.1 / 0.3 ⇒ P(B / A) = 1 / 3

Q2: If P(A) = 0.2, P(B/A) = 0.8 and P(A∪B) = 0.3 then find P(B).

Given: P(A) = 0.2, P(B/A) = 0.8 and P(A∪B) = 0.3 We know, P(A∩B) = P(B / A) × P(A) ⇒ P(A∩B) = 0.2 × 0.8 ⇒ P(A∩B) = 0.16 and P(A∩B) = P(A) + P(B) – P(A∪B) ⇒ P(B) = P(A∩B) – P(A) + P(A∪B) ⇒ P(B) = 0.16 – 0.2 + 0.3 ⇒ P(B) = 0.26

Q3: A dice is rolled. If X = {1, 2, 6}, Y = {2, 4} and Z = {2, 4, 6} then, find P(X/Y), P(X/Z).

Given: X = {1, 2, 6}, Y = {2, 4} and Z = {2, 4, 6} Thus, n(X) = 3, n(Y) = 2, n(Z) = 3 and n(X ∩ Y) = 1, n(X ∩ Z) = 2 Using Formula P(X / Y) = n(X ∩ Y) / n(Y) ⇒ P(X / Y) = 1 / 2 and P(X / Z) = n(X ∩ Z) / n(Z) Thus, P(X / Z) = 2 / 3

Q4: A coin is tossed 3 times. Find the conditional probability P(C/D) where C = Head on first Toss and D = Tail on second toss

Sample space of three coin toss is S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT} n(C) = 4, n(D) = 4 Thus, P(C) = 4/ 8 = 1/2 and P(D) = 4/ 8 = 1/2 Using Formula, P(C ∩ D) = 2 / 8 = 1 /4 ⇒ P(C /D) = P(C ∩ D) / P(D) ⇒ P(C /D) = (1 / 4) / (1/2) Thus, P(C / D) = 1 /2

Q5: Given that P(A/B) = 3/ 7 then, find the conditional probability P(A c /B).

By the property of conditional probability P(A c / B) = 1 – P(A/B) ⇒ P(A c / B) = 1 – 3/7 Thus, P(A c / B) = 4/7

Q6: Evaluate P(X∪Y), if 3P(X) = P(Y) = 2/5 and P(X/Y) = 4/5.

Given: 3P(X) = 2/5 ⇒ P(X) = 2/15 and P(Y) = 2/5 Using Formula, P(X∩Y) = P(X / Y) × P(Y) ⇒ P(X∩Y) = 4/5 × 2/5 ⇒ P(X∩Y) = 8/25 Now, P(X∪Y) = P(X) + P(Y) – P(X∩Y) ⇒ P(X∪Y) = 2/15 + 2/5 – 8/25 ⇒ P(X∪Y) = 16/75

Q7: If P(A) = 5/8, P(B) = 1/4 and P(A /B) = 3 / 8. Find P(A c / B c ).

As we know, P(B c ) = 1 – P(B) ⇒ P(B c ) = 1 – 1/4 Thus, P(B c ) = 3/4 Using Fromula, P(A∩B) = P(A / B) × P(B) ⇒ P(A∩B) = 3/8 × 1/4 ⇒ P(A∩B) = 3/32 Now, P(A∪B) = P(A) + P(B) – P(A∩B) ⇒ P(A∪B) = 5/8 + 1/4 -3/32 ⇒ P(A∪B) =25/32 Again, P(A c ∩ B c ) = 1 – P(A∪B) ⇒ P(A c ∩ B c )= 1 – 25/32 ⇒ P(A c ∩ B c )= 7/32 ⇒ P(A c / B c ) = P(A c ∩ B c ) /P(B c ) ⇒ P(A c / B c ) = (7/32)/(3/4) Thus, P(A c / B c ) = 7/24

Q8: In a school there are 100 students out of which 40 are boys. It is known that out of 40, 20% of boys study in class 11. What is the probability P(A/B) where A: student chosen randomly studies in class 11 and B: the chosen student is a boy.

n(A∩B) = 20% × 40 = 8 n(B) = 40 Using Formula, P(A / B) = n(A∩B) / n(B) ⇒ P(A / B) = 8 / 40 ⇒ P(A / B) = 1/5

Q9: A coin is tossed 2 times. Find P(Y/X) if X = at least one head and Y = no tail.

Sample Space for 2 coin toss is: S = {HH, HT, TH, TT} X = {HH, HT, TH} and Y = {HH} Thus, P(X) = 3/4, P(Y) = 1/4, and P(X∩Y) = 1/4 Thus, P(Y/X) = (1/4) / (3/4) ⇒ P(Y/X) = 1 / 3

Q10: A coin is tossed 3 times. Find (X/Y) if X = at most one head and Y = at most 2 tail.

Sample Space for 3 coin toss is: S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT} P(X) = 4 / 8 = 1/2 P(Y) = 7/8 P(X∩Y) = 3/8 Now, P(X / Y) = P(X∩Y) / P(Y) ⇒ P(X / Y) = (3/8) / (7/8) ⇒ P(X / Y) = 3/7

Practice Questions on Conditional Probability

Q1: If P(A) = 0.25, P(B) = 0.6 and P(A∩B) = 0.5. Find P(A/B).

Q2: If P(A) = 0.3, P(B/A) = 0.4 and P(A∪B) = 0.5 then find P(B).

Q3: A dice is rolled. If X = {3, 5, 6}, Y = {3, 4} and Z = {1, 3, 6} then, find P(X/Y), P(Y/Z), P(X/Z).

Q4: A coin is tossed 4 times. Find P(C/D) in C = Head on second Toss and D = Tail on third toss

Q5: Given that the two numbers appearing on throwing two dice are different. Find the probability of the event the sum of numbers appearing on dice is 5 and the number 4 appears once.

Q6: Evaluate P(X∪Y), if 2P(X) = P(Y) = 4/11 and P(X/Y) = 2/9.

Q7: If P(A) = 5/8, P(B) = 2/3 and P (A B) = 3 / 8. Find P (A c / B c ).

Q8: In a school there are 120 students out of which 60 are boys. It is known that out of 40, 10% of boys study in class 11. What is the probability that a student chosen randomly studies in class 11 , given that the chosen student is a boy.

Q9: A coin is tossed 5 times. Find (X/Y) if X = at least two heads and Y = at most one tail.

Q10: A coin is tossed 4 times. Find (X/Y) if X = at most one head and Y = at most 3 tails.

FAQs on Conditional Probability

What is conditional probability.

When two events are associated with a random experiment, the probability of the first event under the condition that the second event has already occurred and the probability of second event is not equal to zero is called the conditional probability.

What is the Conditional Probability Basic Formula?

The conditional probability basic formula is given by: P(X / Y) = P(X∩Y) / P(Y)

How to Represent Conditional Probability?

The representation of conditional probability if A has already occurred before B is P(B /A).

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