Daily Practice Problems Probability

Question 1:

In a family of 3 children calculate the probability of having at least one boy.

Question 2:

If two different dice are rolled together, then find the probability of getting an odd number on both dice.

Question 3:

State true or false and give the reason. If I toss a coin 3 times and get head each time then I should expect a tail to have a higher chance in the 4^th toss.

Question 4:

A chard is selected at random from the given chards numbers from 1 to 50. Find the probability that the number written on selected chard is

(i) divisible by 3

(ii) an even prime number

(iii) a perfect square

Question 5:

A bag contains slips numbered from 1 to 100. If Fatima chooses a slip at random from the bag, it will either be an odd number or an even number. Since, this situation has only two possible outcomes, so the probability of each is . Justify it.

Question 6:

Ram tosses two different coins simultaneously. Find the probability of getting at least one head.

Question 7:

Two coins are tossed simultaneously. Find the probability of getting exactly one head.

Question 8:

A jar contains 24 marbles, some are green and others are blue. If a marble is drawn at random from the jar, the probability that it is green is 2/3. Find the number of blue marbles in the jar.

Question 9:

If P (E) = 0.32, what is the probability of ‘not E’?

Question 10:

A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is

(i) a card of spade or an ace (ii) a black king

(iii) neither a jack nor a king (iv) either a king or a queen

Question 11:

Cards marked with number 3, 4, 5, …., 50 are placed in a box and mixed thoroughly. A card is drawn at random from the box. Find the probability that the selected card bears a perfect square number.

Question 12:

A dice is thrown. Find the probability that the number obtained is

(i) a prime number (ii) between 2 and 5

(iii) multiple of 3 (iv) greater than 6

Question 13:

Two players, Sangeeta and Reshma, play a tennis match. It is known

that the probability of Sangeeta winning the match is 0.62. What is the probability of Reshma winning the match?

Question 14:

A child has a die whose six faces shows the letters as given below:

The die is thrown once. What is the probability of getting

(i) A? (ii) D?

Question 15:

A number is chosen at random from the numbers -4, -3, -2, -1, 0, 1, 2, 3, 4. What is the probability that square of this number is less then or equal to 4?

Question 16:

Find the probability that a number selected from the numbers 1 to 25 is not a prime number when each of the given numbers is equally likely to be selected.

Question 17:

A bag contains lemon flavoured candies only. Malini takes out one candy without looking into the bag. What is the probability that she takes out:

(i) an orange flavoured candy? (ii) a lemon flavoured candy?

Question 18:

A game consists of tossing a one-rupee coin 3 times and noting the outcome each time. Ramesh wins the game if all the tosses give the same result (i.e. three heads or three tails) and loses otherwise. Find the probability of Ramesh losing the game.

Question 19:

A bag contains 5 red, 8 white and 7 black balls. A ball is drawn at random from the bag. Find the probability that the drawn ball is:

(i) red or white (ii) not black (iii) neither white nor black

Question 20:

It is given that in a group of 3 students, the probability of 2 students not having the same birthday is 0.992. What is the probability that the 2 students have the same birthday?

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Problem-solving on Class 10 Maths Probability NCERT Chapter 15 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 10 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 10 Maths Probability NCERT Chapter 15, 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 10 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 10 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 10 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 10 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 10 Maths Probability NCERT Chapter 15

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 10 Maths Probability NCERT Chapter 15 useful.

Last but not least, to get the best hold on Class 10 Maths Probability NCERT Chapter 15, do not forget to check out:

Probability Class 10 Maths Best videos
Probability Class 10 Maths NCERT Solutions
Class 10 Maths Probability Revision notes
Probability Class 10 Maths DPPs, Download PDF of solutions
Class 10 Maths Probability Online Tests
Class 10 Maths Sample papers