Daily Practice Problems undefined Probability

Question 1:

A and B are events such that P(A) = 0.4, P(A∪ B) = 0.8. If A and B are independent then P(B) = [Level: Moderate]

(a)

(b)

(c)

(d)

Question 2:

Three-digit numbers are formed using the digits 0, 1, 2, 3, 4, 5 without repetition of digits. If a number is chosen at random, then the probability that the digits either increase or decrease, is [Level: Difficult]

(a)

(b)

(c)

(d)

Question 3:

Four persons independently solve a certain problem correctly with probabilities . Then the probability that the problem is solved correctly by at least one of them is [Level: Moderate]

(a)

(b)

(c)

(d)

Question 4:

The mean and the variance of a binomial distribution are 4 and 2 respectively. Then the probability of 2 successes is [Level: Moderate]

(a)

(b)

(c)

(d)

Question 5:

Five horses are in a race. Mr. A selects two of the horses at random and bets on them. The probability that Mr. A selected the winning horse is [Level: Easy]

(a)

(b)

(c)

(d)

Question 6:

From 10 pair of shoes, 6 shoes are selected at random. Then probability that there is at least one correct pair in the selected shoes is [Level: Easy]

(a)

(b)

(c)

(d) None of these

Question 7:

The probability that a missile hits a target successfully is 0.75. In order to destroy the target completely, at least three successful hits are required. Then the minimum number of missiles that have to be fired so that the probability of completely destroying the target is NOT less than 0.95, is ___________ . [Level: Difficult]

Question 8:

A doctor is called to see a sick child. The doctor knows(prior to the visit) that 90% of the sick children in that neighbourhood are sick with the flue, denoted by F, while 10% are sick with the measles, denoted by M. A well known symptom of measles is a rash, denoted by R.

The probability of having a rash for a child sick with the measles is 0.95. However, occasionally children with the flue also develop a rash with conditional probability of 0.08. Upon examination of the child, the doctor finds a rash, then the probability that the child has the measles, is [Level: Moderate]

(a)

(b)

(c)

(d)

Question 9:

If from each of the three boxes containing 3 white and 1 black, 2 white and 2 black, 1 white and 3 black balls, one ball is drawn at random, then the probability that 2 white and 1 black ball will be drawn is [Level: Easy]

(a)

(b)

(c)

(d)

Question 10:

Let A and B be two events such that P(B|A) = , P(A|B) = and P(A B) = . Consider (S1): P(A’ B) = , (S2): P(A’∩ B’) = . Then [Level: Difficult]

(a) Both (S1) and (S2) are true

(b) Both (S1) and (S2) are false

(d) Only (S2) is true

Question 11:

In a multiple choice question there are four alternative answers of which one or more are correct. A candidate will get marks in the question only if he ticks the correct answers. The candidate decides to tick the answers at random. If he is allowed up to three chances to answer the questions, the probability that he will get marks in the question, is __________ . [Level: Easy]

Question 12:

If the mean and the variance of a binomial variate X are 2 and 1 respectively, then the probability that X takes a value greater than one is equal to __________ . [Level: Moderate]

Question 13:

Given three identical boxes I, II, III, each containing two coins. In box I, both coin are gold coins, in box II, both are silver coins and in the box III, there is one gold and one silver coin. A person chooses a box at random and takes out a coin. If the coin is of gold, then the probability that the other coin in the box is also gold, is __________ . [Level: Moderate]

Question 14:

An unbiased coin is tossed. If the result is a head, a pair of unbiased dice is rolled and the number obtained by adding the numbers on the two faces is noted. If the result is a tail, a card from a well shuffled pack of eleven cards numbered 2, 3, 4, . . . . ., 12 is picked and the number is noted. The probability that the noted number is 7 or 8 is __________. [Level: Difficult]

Question 15:

A speaks truth in 80% cases and B in 75% cases. What is the probability that they contradict each other in stating the same fact ? [Level: Moderate]

(a)

(b)

(c)

(d)

Question 16:

In a class of 60 students, 40 opted for NCC, 30 opted for NSS and 20 opted for both NCC and NSS. If one of these students is selected at random, then the probability that the selected student has opted neither for NCC nor for NSS is [Level: Moderate]

(a)

(b)

(c)

(d)

Question 17:

In a test, an examinee either guesses or copies or knows the answer to a multiple choice question with four choices. The probability that he makes a guess is and the probability the copies the answer is . The probability that his answer is correct given that he copied it is . The probability the he knew the answer to the question given that he correctly answered it, is __________ . [Level: Difficult]

Question 18:

Let A and B be two independent events such that P(A) = and P(B) = . Then which of the following is correct? [Level: Easy]

(a)

(b)

(c)

(d)

Question 19:

There are 7 applicants (3 men and 4 women) and two interview boards. Each applicant is interviewed by exactly one board. Each board interviews at least one applicant. The chance that all woman are interviewed by same board is [Level: Moderate]

(a)

(b)

(c)

(d)

Question 20:

A coin is tossed 7 times. Each time a man calls head. The probability that he wins the toss more than three occasions is - [Level: Moderate]

(a)

(b)

(c)

(d) None of these

**********

Problem-solving on JEE Maths Probability NCERT Chapter 16 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 JEE 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 JEE Maths Probability NCERT Chapter 16, 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 JEE 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 JEE 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 JEE 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 JEE 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 JEE Maths Probability NCERT Chapter 16

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 JEE Maths Probability NCERT Chapter 16 useful.

Last but not least, to get the best hold on JEE Maths Probability NCERT Chapter 16, do not forget to check out:

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