Daily Practice Problems Probability

Question 1:

Two coins are thrown together. What is the sample space?

Question 2:

Two dice are thrown simultaneously. Find the probability of getting a total of 9.

Question 3:

Three coins are tossed once. The probability of getting at most 2 heads is ________.

Question 4:

The probability of getting 53 Sundays in a leap year is _____.

Question 5:

Six boys and six girls sit in a row at random. The probability that the boys and

girls sit alternatively is _____.

Question 6:

If P(AUB) = 0.6 and P(A B) =0.2 then P(A ̅) + P(B ̅) is _____.

Question 7:

A single letter is selected at random from the word PROBABILITY. The

probability that it is a vowel is _____.

Question 8:

Out of 100 students, two sections of 40 and 60 are formed. If you and your friend are among the 100 students, what is the probability that you both enter in the same section?

Question 9:

One card is drawn from a set of 17 cards numbered 1 to 17. Find the probability that the number is divisible by 3 or 7.

Question 10:

There are four machines and it is known that exactly two of them are faulty. They are tested, one by one, in a random order till both the faulty machines are identified. Then the probability that only two tests are needed is _________.

Question 11:

A couple has two children. The probability that both children are females if it is known that the elder child is a female is _________.

Question 12:

A coin is tossed and a die is thrown. Find the sample space.

Question 13:

Two dice are thrown. The events A, B and C are as follows:

A: getting an even number on the first die.

B: getting an odd number on the first die.

C: getting the sum of the numbers on the dice ≤ 5.

State true or false: (give reason for your answer)

(i) A and B are mutually exclusive

(ii) A = B′

(iii) A′, B′, C are mutually exclusive and exhaustive.

Question 14:

If E and F are events such that P(E) = 14 , P(F) = 12 and P(E and F) = 18 , find

(i) P(E or F), (ii) P(not E and not F).

Question 15:

On his vacation, Rahul visits four cities (A, B, C, and D) in a random order. The probability that he visits A first and B last is _________.

Question 16:

In a large metropolitan area, the probabilities are 0.87, 0.36, 0.30 that a family (randomly chosen for a sample survey) owns a colour television set, a black and white television set, or both kinds of sets. What is the probability that a family owns either anyone or both kinds of sets?

Question 17:

The probability that a person visiting a zoo will see the giraffe is 0.72, the probability that he will see the bears is 0.84. Is it possible that the probability that he will see both is 0.52?

Question 18:

Is it possible that the probabilities that a typist will make 0, 1, 2, 3, 4, 5 or more mistakes in typing a report are, respectively, 0.12, 0.25, 0.36, 0.14, 0.08, 0.11.

Question 19:

Two dice are thrown the events A, B, C are as follows:

A: Getting an odd number on the first die.

B: Getting a total of 7 on the two dice.

C: Getting a total of greater than or equal to 8 on the two dice.

Then AUB is equal to _________.

Question 20:

Two numbers are chosen from {1, 2, 3, 4, 5, 6} one after another without replacement. Find the probability that the smaller of the two is less than 4.

**********

Problem-solving on Class 11 Maths Probability NCERT Chapter 14 after learning a theoretical concept is crucial for several reasons:

Application of Knowledge: Problem-solving allows you to apply the theoretical concepts of the topic Class 11 Maths Probability you have learned to real-life situations. It helps you bridge the gap between abstract knowledge and practical scenarios, making the learning more relevant and meaningful.
Understanding Deeper Concepts: When you encounter problems related to a theoretical concept that you learned in Class 11 Maths Probability NCERT Chapter 14, you are forced to delve deeper into its intricacies. This deeper understanding enhances your comprehension of the subject and strengthens your grasp of the underlying principles.
Critical Thinking: Problem-solving encourages critical thinking and analytical skills. It requires you to analyze the problem, identify relevant information, and devise a logical solution. This process sharpens your mind and improves your ability to approach complex challenges effectively.
Retention and Recall: Actively engaging in problem-solving reinforces your memory and improves long-term retention. Applying the concepts learned in Probability Class 11 Maths in practical scenarios helps you remember them better than passive reading or memorization.
Identifying Knowledge Gaps: When you attempt to solve problems, you may encounter areas where your understanding is lacking. These knowledge gaps become evident during problem-solving, and you can then focus on filling those gaps through further study and practice. You can refer Probability Class 11 Maths Notes on LearnoHub.com
Boosting Confidence: Successfully solving problems after learning a theoretical concept boosts your confidence in your abilities to handle Probability. This confidence motivates you to tackle more challenging tasks and improves your overall performance in the subject.
Preparation for Exams and Challenges: Many exams, especially in science, mathematics, and engineering, involve problem-solving tasks. Regular practice in problem-solving prepares you to face these exams with confidence and perform well. It is also advised to take tests on Probability Class 11 Maths Online Tests at LearnoHub.com.
Enhancing Creativity: Problem-solving often requires thinking outside the box and exploring various approaches. This fosters creativity and innovation, enabling you to come up with novel solutions to different problems.
Life Skills Development: Problem-solving is a valuable life skill that extends beyond academics. It equips you with the ability to tackle various challenges you may encounter in personal and professional life.
Improving Decision Making: Problem-solving involves making decisions based on available information and logical reasoning. Practicing problem-solving enhances your decision-making skills, making you more effective in making informed choices.

In summary, problem-solving after learning a theoretical concept on CBSE Probability Class 11 Maths is an essential part of the learning process. It enhances your understanding, critical thinking abilities, and retention of knowledge. Moreover, it equips you with valuable skills that are applicable in academic, personal, and professional contexts.

You must have heard of the phrase “Practice makes a man perfect”. Well, not just a man, practice indeed enhances perfection of every individual.

Practicing questions plays a pivotal role in achieving excellence in exams. Just as the adage goes, "Practice makes perfect," dedicating time to solve a diverse range of exam-related questions yields manifold benefits. Firstly, practicing questions allows students to familiarize themselves with the exam format and types of problems they might encounter. This familiarity instills confidence, reducing anxiety and improving performance on the actual exam day. Secondly, continuous practice sharpens problem-solving skills and enhances critical thinking, enabling students to approach complex problems with clarity and efficiency. Thirdly, it aids in identifying weak areas, allowing students to focus their efforts on improving specific topics. Moreover, practice aids in memory retention, as active engagement with the material reinforces learning. Regular practice also hones time management skills, ensuring that students can allocate appropriate time to each question during the exam. Overall, practicing questions not only boosts exam performance but also instills a deeper understanding of the subject matter, fostering a holistic and effective learning experience.

All About Daily Practice Problems on Class 11 Maths Probability NCERT Chapter 14

Our Daily Practice Problems (DPPs) offer a diverse range of question types, including Multiple Choice Questions (MCQs) as well as short and long answer types. These questions are categorized into Easy, Moderate, and Difficult levels, allowing students to gradually progress and challenge themselves accordingly. Additionally, comprehensive solutions are provided for each question, available for download in PDF format - Download pdf solutions as well as Download pdf Questions. This approach fosters a holistic learning experience, catering to different learning styles, promoting self-assessment, and improving problem-solving skills. With our well-structured DPPs, students can excel in exams while gaining a deeper understanding of the subject matter. Hope you found the content on Class 11 Maths Probability NCERT Chapter 14 useful.

Last but not least, to get the best hold on Class 11 Maths Probability NCERT Chapter 14, do not forget to check out:

Probability Class 11 Maths Best videos
Probability Class 11 Maths NCERT Solutions
Class 11 Maths Probability Revision notes
Probability Class 11 Maths DPPs, Download PDF of solutions
Class 11 Maths Probability Online Tests
Class 11 Maths Sample papers