An Introduction
For scoring good marks in the Mathematics examination one needs a lot of practice. Here we provide a geometric probability worksheet pdf on all of the important math topics for CBSE Classes 6, 7, 8, 9, 10, 11, and 12. With the help of these geometric probability worksheets pdf, the students can practice very well and improve their preparation level for the final exams.
Go through all the important topics that all the student needs to know, which includes integers, algebra, decimals, geometry, arithmetic, trigonometry, time, measurement, and much more. Students can match the solutions with the answer keys and get appropriate feedback to analyze mistakes and correct them.
What is Probability?
Probability is known as the chance of some of the events to occur. When we need to know about the probability of a particular event which has to take place, we think of the chances that we expect in accordance with every possibility that can happen.
When you aren't sure about the result of a specific event, you'll specify the chances or how likely the result. Analyzing the events that are governed by probability is known as Statistics. Statistics Problems can be solved using math formulas.
(Image will be Uploaded soon)
A simple example that defines the basics of probability is flipping a coin.
We will get two possible outcomes when a coin is flipped, i.e,
Heads
Tails
What will be the probability for a fair coin (which has two different faces) that it lands on the Heads?
Since there are only two possible outcomes which will occur out of 1, hence the probability of the coin landing on Heads would be
P(H) = Heads / Tails + Heads = ½
Hence, P(H) = 0.5 or 50%
Here, we bring you the geometric probability worksheet pdf to assist you in improving within the probability concepts that also include applied mathematics, probability statistics along with applications of probability.
Probability Formula
The probability formula is defined because of the likelihood of an occasion to happen. It is equal to the ratio of the number of favorable results and the total number of outcomes. The formula for the probability of an occasion to occur is given by:
P(E) = Total Number of the favorable outcomes/Total Number of the outcomes
Probability Worksheet for Class 9
Two coins are tossed at the same time for 400 times and we get 2 heads which equals 180 times, one head = 148 times, and no head = 70 times. If two coins are tossed at random, what is the probability of getting 2 heads, 1 head and 0 heads.
According to the meteorological report for 300 consecutive days during a year, its weather outlook was correct 180 times. Out of those days, at some point was chosen randomly, what's the probability that the weather outlook was correct thereon day and not correct there on the day.
In a match, a batsman hit the boundary 5 times out of 40 balls played by him. Find the probability that the boundary isn't hit by the ball.
In a survey of 200 ladies, it was found that 142 like coffee, while 58 dislike it. Find the probability that a woman chose at the present likes coffee and dislikes coffee.
In an ongoing cricket match, a batsman hits boundary 6 times in 30 balls he plays. Find the probability that he didn't hit a ball.
Probability Worksheet for Class 10
The 10th-grade probability worksheets are mentioned as follows:
A coin is tossed once, what's the probability of getting a head.
A die is thrown only once, so find the probability of getting a decent number and a multiple of three,
Two dice are thrown at an equivalent time, and the probability that the sum of two numbers appearing on the highest of the dice is quite nine.
A bag has 5 red balls and some blue balls. If the probability of drawing a blue ball from the bag is supposed to be three times that of the red ball, then what will be the number of blue balls within the bag.
One card is drawn randomly from a well-shuffled deck of 52 cards. Find the probability that the card that is drawn may be a king, a red 8, a spade, a red card, the six of the club, and a face card.
Above are the mentioned points for the 10th-grade probability worksheets.
The terms- Mathematics and practice are often found to be synonymous with each other. There is no concept in math that one has ever mastered without practicing it sincerely. In order to apply it practically, students should have appropriate resources. Worksheets are considered to be important for assessing your clarity and understanding of any or every chapter.
You can find access to all the CBSE worksheets for free on the website of Vedantu. All you need to do is select your class and the particular topic you want to ace.
Probability is considered to be one of the easiest chapters in math. In addition, students find it fun to take out the probability of certain events. For example- flipping a coin to toss for your cricket match.
However, it's important that you look at the topic from an examination point of view. Upto class 8, students are taught the basic probability however in grade 9, they are introduced to the standard probability. For scoring well in these board classes, it's important that students practice their worksheets on a regular basis.
Benefits of referring to CBSE worksheets of Probability for class 9 and class 10
Unlike other chapters of math, Probability does not contain many exercises. The chapter is based on your knowledge of the basics. In order to understand the questions, students should remember things like- sides of a coin, numbers on the dice, names in a card pack etc.
CBSE worksheets are totally based on your NCERT textbook. Students can use these worksheets for their revision purpose.
At times, students take this chapter less seriously as compared to others. These worksheets will help you to assess your strengths and weaknesses related to the concepts covered in this chapter.
In addition to the NCERT syllabus, CBSE worksheets also help to boost your analytical skills. Experts make sure that students take out the answer on their own.
The formulas for probability are quite important in order to solve the questions. These worksheets help in the application of the formulas in different types of questions.
CBSE worksheets are considered to be highly beneficial to gain confidence. If your child faces a lack of confidence or examination anxiety even after preparing well, make them solve these worksheets on a daily basis.
These worksheets are also important for the students who want to take up maths as one of their main 5 subjects in classes 11 and 12.
The formulas and theoretical explanation of probability formulas and concepts work as the base foundation for the level of probability you will encounter in higher classes.
These worksheets are easily accessible in both offline and online modes. Students are advised to make organized categories for the division of their chapters under a particular chapter.
You can also take out the printouts of these worksheets and solve the questions with ease. This will further help you in taking a quick glance before the day of your examination.
Experts at Vedantu make sure to add detailed answers to each question. The questions of probability in the CBSE worksheets are followed by their answers in the right order.
The answers to these worksheets make it easy for the parents to assess their children in every chapter. They can match and check their answers to make sure that their child is following a good pace.
CBSE worksheets are fun and interactive. It will make the learning process easier for you. Just cover the syllabus and keep solving the worksheets on a daily basis.
FAQs on Probability Worksheets
1. What are the most important types of questions students should expect in Probability Worksheets for CBSE 2025-26 exams?
Students should focus on basic probability calculations using coins, dice, and cards, as well as more applied questions involving surveys and real-life data. Important probability worksheet question types include:
- Finding the probability of outcomes when tossing coins or rolling dice
- Problems based on drawing cards from a deck
- Word problems using formulas for favourable and total outcomes
- Application-based questions, such as survey data analysis or probability in sports contexts
2. Which concepts from Probability worksheets carry higher marks in CBSE board exams?
Longer application-based questions that require students to interpret data or outcomes from experiments (like repeated coin tosses or survey results) tend to have higher marks—typically 3 to 5 marks. Key scoring areas include:
- Construction and use of sample spaces
- Calculating probabilities from experiment tables
- Analyzing and solving multistep or HOTS (Higher Order Thinking Skills) problems
3. How can students avoid common mistakes when solving Probability questions in board exams?
Common errors include miscounting total possible outcomes, confusing favourable outcomes, and misapplying the basic probability formula. To avoid mistakes:
- Always list all possible outcomes in the sample space before selecting favourable ones
- Use proper probability notation such as P(E) = (Number of Favourable Outcomes)/(Total Outcomes)
- Double-check if the experiment is random and outcomes are equally likely
- Carefully read questions that involve 'at least', 'at most', or 'not', and interpret them correctly
4. Why are Probability Worksheets crucial for mastering this chapter for CBSE exams?
Probability Worksheets provide extensive practice on calculation and reasoning skills required in the CBSE exam. These worksheets help:
- Reinforce understanding of core concepts through repeated practice
- Build a strong foundation for higher classes
- Expose students to all possible question types—from direct numericals to real-life applications
- Identify weak areas and rectify common errors before the actual examination
5. What is the best approach to answering board exam questions based on experimental probability in worksheets?
The best strategy involves:
- Clearly stating the experiment and listing all possible outcomes
- Counting the number of times the required outcome occurs (i.e., favourable outcomes)
- Applying the experimental probability formula: P(E) = (Number of times event E occurs)/(Total number of trials)
- Presenting calculations step-by-step to ensure marks are not lost in presentation
6. How do high-order thinking (HOTS) questions on Probability differ from basic worksheet questions?
HOTS (Higher Order Thinking Skills) questions require analytical reasoning and application of multiple concepts, often presented in real-life scenarios or data interpretations. While basic worksheet questions focus on direct probability calculations, HOTS questions may ask students to:
- Analyze statistical data or case studies
- Compare outcomes between different experiments
- Apply probability rules in complex, layered problems
7. What is the significance of understanding the difference between theoretical and experimental probability for board exams?
Understanding the difference is crucial because:
- Theoretical probability is based on reasoning about equally likely outcomes (e.g., probability of rolling a 4 on a fair die).
- Experimental probability is based on the actual results of repeated experiments (e.g., how often a head appears in 100 coin tosses).
8. How can a strong foundation in Probability help students in higher classes and competitive exams?
A strong grasp of Probability builds critical thinking and data interpretation skills necessary for:
- Advanced probability and statistics chapters in Classes 11 and 12
- Competitive exams like JEE and NEET, where probability appears in problems involving permutations, combinations, and data analysis
- Real-world decision making, risk analysis, and scientific reasoning
9. What role does accurate presentation of answers play in scoring well in Probability Worksheet-based exam questions?
Well-organized answers help:
- Convey logical steps and correct application of formulas
- Demonstrate clarity in thinking to examiners
- Prevent loss of marks due to skipped steps or unclear reasoning
10. Can real-life examples such as games or surveys appear as important questions from the Probability worksheet in exams?
Yes, CBSE exams often include real-life scenarios such as coins, dice, cards, cricket matches, and survey analysis, mirroring worksheet problems. These questions test the practical application of probability concepts and analytical skills—making it essential to practice such problems regularly from the worksheet to excel in board exams.
