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CBSE Class 11 Applied Maths Probability 2025
September 11, 2024
Overview: Discover the intriguing world of CBSE Class 11 Applied Maths Probability! Uncover essential formulas, dive into theoretical and experimental concepts, and explore expert strategies and sample questions to master this vital subject.
The subject of Applied Maths was primarily added to the CBSE curriculum to help you align well with the social science-based applications.
Probability is one such concept included in the CBSE Class 11 applied maths syllabus. Probability, the branch of mathematics explains how often an event is likely to occur after many repeated trials.
Now, let us understand in-depth about CBSE Class 11 Applied Maths Probability chapter. Read the complete post to know important probability formulas, topics included, and sample questions.
What is CBSE Class 11 Applied Maths Probability?
In essence, the term “probability” refers to the possibility of the outcome of an event. Hence, as it can be understood, the branch of Probability in Applied Maths usually deals with the outcomes of an event.
In most cases, the incident will be random. However, it will have a direct connection with real-life events as well.
As per the CBSE Class 11 applied mathematics, there are four different chapters included under the probability topic. There are two different types of Probability that are usually included in the syllabus of probability CBSE class 11 applied maths:
- Theoretical Probability: It usually deals with the possible chances of an event that is going to happen in the near future. For example, if someone tosses a coin, then the chance of getting a tail is around 50%. It can help a student in making a stern judgment, even if he/she is not sure about the possible outcome.
- Experimental Probability: It is yet another of the common probability topics in applied maths class 11 that focuses on possible outcomes of an incident. However, it will do the same by considering the total amount of trials. For instance, if an individual tosses a coin 10 times and gets “tails” 6 times, then its experimental probability would be 6/10.
Important CBSE Class 11 Applied Maths Probability Formulas
As per the experts, learning the formulas of class 11 Applied Maths Probability CBSE will help candidates to answer the question easily in the exam.
Also, opting for the best Applied Mathematics Online Coaching would definitely help candidates to better succeed in the exam. The following are some of the important formulas of probability.
| Probability Range | 0 ≤ P(A) ≤ 1 |
| Rule of Addition | P(A∪B) = P(A) + P(B) – P(A∩B) |
| Rule of Complementary Events | P(A’) + P(A) = 1 |
| Disjoint Events | P(A∩B) = 0 |
| Independent Events | P(A∩B) = P(A) ⋅ P(B) |
| Conditional Probability | P(A | B) = P(A∩B) / P(B) |
| Bayes Formula | P(A | B) = P(B | A) ⋅ P(A) / P(B) |
Topics Included in CBSE Class 11 Applied Maths Probability
Knowing the syllabus of probability applied mathematics class 11 will help you to know how to plan their preparation to cover all the topics as per the syllabus. Let us have a look at the table below to know the topics of class 11 probability.
| Sl. No. | Name of the Topic |
| 1. | Random experiment, mutually exclusive events, Sample Space, events |
| 2. | Independent and Dependent Events |
| 3. | Law of Total Probability |
| 4. | Bayes’ Theorem |
CBSE Class 11 Applied Maths Probability Study Material and Preparation Tips
To understand more about the CBSE class 11 applied maths probability weightage distribution and get decent marks on it, you will have to follow the books provided by CBSE.
Aside from this, you will also need to abide by some CBSE Class 11 Applied Maths Probability notes and tips as well. It, in turn, can help you to get good marks in the exam. The following are some of them.
- The topics of probability can be pretty confusing, to say the least. So, you have to make sure that they practice the problems almost on a daily basis. Otherwise, it might be a little bit difficult for them to answer the question quickly in the examination.
- The Probability section in applied mathematics carries ten marks. However, as the problems in this aspect are supposed to be lengthy, you may attempt them after they are done with other sections of the paper.
- In all honesty, probability is all about knowing the tips and tricks of the same. If you do know about them, then you can answer the questions quickly.
CBSE Class 11 Applied Maths Probability Sample Questions
Here, in this section, you are going to find out some demo questions that you may encounter in the CBSE Class 11 Applied Maths Probability section. Let’s check them out and enhance your preparation for the upcoming exam.
- Two players, Shyam and Ram, are playing a match of table tennis. The probability of Ram winning the competition is around 0.68. Then, what would be the probability of Shyam winning the match?
- A bag contains three blue balls and some red balls. The probability of picking up a red ball is twice of that of a blue ball. So, find out the total number of red balls available in the bag.
- A box contains 800 bulbs. However, 30 of them are defective. Thus, if you do pick up one bulb at a time, then what would be the overall probability of drawing a non-defective one?
- In a single throw of two dice, find the probability of obtaining a total of 8.
- A card is drawn from a deck of 52 cards. Find the probability of getting a king or a heart or a red card?
- A bag contains 9 red and 12 white balls. One ball is drawn at random. Find the probability that the ball is drawn is red.
- What is the probability that the ordinary year has 53 Sundays?
- A die is rolled. Let E be the event “die shows 4” and F be the event “die shows even number”. Are E and F mutually exclusive?
- A card is drawn at random from a well-shuffled pack of 52 cards. Find the probability of being either red or king.
The CBSE Class 11 Applied Maths Probability chapter equips students with crucial concepts and formulas to excel in mathematical applications related to probability.
By embracing strategies, formulas, and consistent practice outlined in this guide, students can enhance their understanding and performance in this essential mathematical area.
Key Takeaways:
- Dual Probability Concepts: Understanding both theoretical and experimental probability prepares students for diverse problem-solving scenarios.
- Essential Formulas: Mastery of key formulas like the Rule of Addition and Bayes' Formula is vital for exam success.
- Syllabus Familiarity: Knowing detailed syllabus topics enables focused and effective exam preparation.
- Regular Practice: Consistent practice is essential to overcome the complexities of probability questions.
- Use of Resources: Leveraging study materials and online coaching can significantly aid in better exam preparation.
Frequently Asked Questions
Is Applied Mathematics an easy subject?
How does probability help us in real life?
Is the Probability difficult?
How many marks does the Probability section carry in the 11th Class examination of the CBSE board?
Is there any easy way to prepare for the Probability section?