(d) None of these Answer/ Explanation. (b) \(\frac{1}{5}\) (b) \(\frac{721}{729}\) (d) \(\frac{1}{10}, \frac{1}{5}\) For the following probability distribution (d) 10 (c) E(X2) – [E(X)]2. (d) \(\frac{103}{1426}\) (a) 0.5 (d) \(\frac{8}{15}\) If the mean and the variance of a binomial distribution are 4 and, then find P(X ≥ 1). (a) \(\frac{35}{18}\left(\frac{5}{6}\right)^{3}\) They also could be independent. (c) \(\frac{625}{23328}\), Question 6. (b) E(X) – [E(X2)] MCQ Questions for Class 10 Maths with Answers PDF Free Download is very important for students who want to score good marks in their CBSE board examination. Three balls are drawn one by one with replacement. Find the probability of getting atleast 6 heads. Two balls are drawn one by one at random without replacement. You are given that A and B are two events such that P(b) = \(\frac{3}{5}\), P(A|B) = \(=\frac{4}{5}\), then P(A) equals (d) 0.305 (c) \(\frac{728}{729}\) (c) \(\frac{3}{4}\) (a) \(\frac{1}{6}, \frac{11}{24}, \frac{33}{48}\) A card from a pack of 52 cards is lost. (c) \(\frac{34}{259}\) If 3 balls are drawn at random without replecement the probability of getting exactly one red ball is a. Snowball b. Answer: For the following probability distribution, the standard deviation of the random variable X is Find P(B) (a) 8 (a) \(\left(\frac{2}{3}+\frac{1}{3}\right)^{25}\) (d) \(\frac{18}{29}\left(\frac{2}{3}\right)^{3}\) Answer: ANSWER: 2. B 26. The probability of a man hitting a target is \(\frac{1}{4}\). The mean and the variance of a binomial distribution are 4 and 2 respectively. (a) \(P(E | F)+P(\bar{E} | F)=1\) (d) \(\frac{7}{12}\) (c) \(\left(\frac{1}{2}+\frac{1}{2}\right)^{27}\) A flashlight has 8 batteries out of which 3 are dead. (a) \(\frac{1}{2}\) CollegeJobMilitaryOther (b) \(\frac{1}{6}, \frac{33}{48}, \frac{11}{24}\) (b) \(\frac{5}{18}\) If three events of a sample space are E, F and G, then P(E ∩ F ∩ G) is equal to (a) \(\frac{1}{18}\) The higher the probability of an event, the more likely it is to occur, i.e. (a) \(\frac{9}{38}\), Question 32. 3 4 3 = 36. (d) \(\frac{1(\bar{A})}{P(B)}\) (d) \(\frac{24}{104}\) Question No : 2 A box contains 5 green, 4 yellow and 3 white balls. (b) \(\frac{8}{15}\), Question 33. (a) \(\frac{3}{28}\) Answer: Question 3. … Find the probability of atleast 6 successes. Then, the probability that there is atleast one defective egg is (c) \(\frac{728}{729}\), Question 50. (b) \(\frac{1600}{81}, \frac{400}{9}\), Question 51. Question No : 1 Bag contain 10 back and 20 white balls, One ball is drawn at random. (b) 0.6 A coin is tossed twice. (d) \(\frac{3}{28}\) More than one interviewer and one interviewee c. One interviewer and more than one interviewee d. (b) \(\frac{7}{15}\) If getting a sum of 9 is considered a success, then find the mean and the variance respectively of the number of successes. (b) \(\frac{32805}{100000}\) (c) \(\frac{13}{50}\) (b) \(\frac{25}{102}\), Question 31. Answer: a. Find the probability that both the cards are black. Answer: Example A circuit board contains 4 relays each of which can be set to any (a) P(E) P(F|E) P(G|(E ∩ F)) (d) 0.50 Answer: If two events (both with probability greater than 0) are mutually exclusive, then: A. Answer: Students who can Practice CBSE Maths Multiple Choice Questions with Answers for Class 10 Pdf to improve your score in Board Exams. (a) \(\frac{1}{4}\) P(b) (a) \(\frac{5}{4}, \frac{4}{5}\) (d) 1 Two cards are drawn from a well shuffled deck of 52 playing cards with replacement. Find the probability that both tickets will show even numbers. (c) \(\left(\frac{1}{2}+\frac{1}{2}\right)^{32}\), Question 53. How many ways can (d) \(\frac{200}{9}, \frac{1600}{81}\) The probability of getting a queen of club or a king of heart is, Competitive Exam India | Copyright @2017-2018 | About Us | Contact Us, Hosting partner DigitalOcean - Click here to get $10 joining bonus, DigitalOcean - Click here to get $10 joining bonus. (a) \(\frac{2}{3}\) (d) \(\frac{1}{2}\) There is no penalty for incorrect answers. (d) \(\frac{11}{26}, \frac{1}{4}, \frac{21}{44}\) (b) \(\left(\frac{1}{2}+\frac{1}{2}\right)^{30}\) (a) \(\frac{14}{17}\), Question 56. (d) \(\frac{2}{5}\), Question 34. (b) \(\frac{35}{18}\left(\frac{5}{6}\right)^{4}\) Eight coins are thrown simultaneously. (a) \(\frac{5}{6}\) A numerical value used as a summary measure for a sample, such as sample mean, is known as a. a. population parameter b. sample parameter c. sample statistic d. population mean e. None of the above answers is correct. Answer: (c) Both (a) and (b), Question 30. Students can solve NCERT Class 12 Maths Probability MCQs Pdf with Answers to know their preparation level. For the event E = {X is prime number} and F = {X < 4}, P(E ∪ F) = The probability of getting a queen of club or a king of heart … (b) \(\frac{3}{5}\) tossing a coin gives a 50% chance of getting heads or tails. (b) -1 (b) \(\frac{1}{3}\) B 50. (c) Both (a) and (b), Question 29. (b) \(\frac{3}{8}\) (a) \(\frac{1}{13} \times \frac{1}{13}\) (b) \(\frac{1}{5}, \frac{1}{3}\) Answer: c (d) \(\left(\frac{1}{4}+\frac{3}{4}\right)^{30}\) (d) \(\frac{1}{4}\) (d) \(\frac{1}{2}\) 1/2. 2/5 c. 4/7 d. 5/7. (c) Both (a) and (b) Tanu will buy a pen if it is good but will not buy if it is defective. (b) \(\frac{1}{6}, \frac{33}{48}, \frac{11}{24}\), Question 48. Answer: (b) \(\frac{1}{5}, \frac{1}{7}\) (b) \(\frac{2}{3}\) Your Final Exam will NOT have any multiple choice!) Probability Page 3 of 15 Multiple Choice Questions on Probability Questions 1 and 2 refer to the following situation. Comments. (c) -2 (a) \(\frac{33}{56}\) (b) \(\frac{9}{64}\) (d) \(\frac{8}{15}\), Question 38. (b) P(F) . (d) \(\frac{1}{4}\), Question 42. What is the probability of getting atleast 3 heads? Probability distributions multiple choice questions and answers (MCQs), probability distributions quiz answers pdf 1 to learn online MBA statistics courses. (a) 4, Question 8. 1. What is probability of picking at least 1 red shirt in … Answer: 4. If A and B are two indendent events such that \(P(\bar{A})\) = 0.75, P(A ∪ B) = 0.65 and P(b) = P, then find the value of P. (a) 3 The probability of an event that is certain to happen is ‘ 1 ’. (c) P(A) = P(B), Question 35. 7. The teacher assigns homework after 7 10 of the lessons. (d) \(\frac{1}{8}\) Answer: Probability And Statistics Questions And Answers In Pdf. The probability of gettingan even number on the die and a spade card is (a) \(\frac{1}{2}\), Question 23. P(E ∩ F) is equal to Answer: The probability … Find the probability of getting exactly one red ball. A die is thrown and card is selected a random from a deck of 52 playing cards. (b) \(\frac{1}{3}\) A random variable X has the following distribution. (b) \(\frac{25}{102}\) Find the probability of the lost card being a club. (c) E(X2) – [E(X)]2 (a) \(\frac{21}{104}\) STATISTICS 8: CHAPTERS 7 TO 10, SAMPLE MULTIPLE CHOICE QUESTIONS 1. (a) \(\frac{1}{3}\), Question 25. The probability that they are the same colour IS Question 12 A box contains five red balls and three blue balls. (d) -1.8 A 3. (d) \(\left(\frac{2}{3}+\frac{1}{3}\right)^{27}\) What is the probability that a random card drawn from this deck is a spade? C 14. (a) E(X2) + [E(X2)2]2 (c) \(\frac{219}{256}\), Question 11. (d) \(\left(\frac{2}{3}+\frac{1}{3}\right)^{27}\), Question 54. (d) \(\frac{1}{7}, \frac{1}{7}\) (a) 1 – P(A|B) (b) \(\frac{1}{2}\) (c) 0.35 Given that, the events A and B are such that P(A) = \(\frac{1}{2}\), P(A ∪ B) = \(\frac{3}{5}\) and P(b) = P. Then probabilities of B if A and B are mutually exclusive and independent respetively are (c) \(\frac{1}{5}\) (c) \(\frac{15}{56}\), Question 13. Answer: (c) \(\frac{7}{38}\) (d) 0.7 (c) \(\frac{37}{128}\) (a) \(\frac{9}{14}\) If p(x = r) / P(x = n – r) is dindependent of n and r, then p equals (b) \(\frac{16}{35}\) (b) 16 Answer: Two cards from an ordinary deck of 52 cards are missing. (a) \(\frac{7}{15}\) (d) \(\frac{5}{16}\) Answer: There are 5 blue, 5 green and 5 red books on a shelf. Find the probability of throwing atmost 2 sixes in 6 throws of a single die. A) unlikely B) likely C) certain D) equally likely ____ 2. A bag contains 3 green and 7 white balls. 3. (c) \(\frac{1}{28}\) (b) \(\frac{3}{8}\), Question 43. (b) \(\frac{1}{4}\) (c) \(\frac{23}{102}\) (d) \(\frac{3}{5}\) B 49. The probability distribution of a discrete random variable X is given below: (c) 0.48, Question 60. Research Methodology Objective Questions Pdf Free Download:: 6. Answer: (d) 10, Question 22. MULTIPLE CHOICE QUESTIONS. (d) \(P(E | \bar{F})+P(\bar{E} | \bar{F})=0\) B 27. Question No : 7 A card is drawn from a pack of 52 cards. Question and Answer forum for K12 Students. (a) \(\frac{37}{256}\) This Quiz contains Multiple Choice Questions about Probability and probability distribution, event, experiment, mutually exclusive events, collectively exhaustive events, sure event, impossible events, addition and multiplication laws of probability, discrete probability distribution, and continuous probability distributions, etc.Let us start MCQs Probability with Answers: (c) \(\frac{1-P(A \cup B)}{P(B)}\) (b) \(\frac{1}{13}+\frac{1}{13}\) (a) \(\frac{3}{10}\) Let A and B be independent events with P(A) = 1/4 and P(A ∪ B) = 2P(B) – P(A). (d) \(\frac{3}{28}\), Question 16. (c) \(\frac{2}{3}\) (d) \(\left(\frac{9}{10}\right)^{5}+\frac{1}{2}\left(\frac{9}{10}\right)^{4}\), Question 24. Answer: (c) \(\frac{1}{4}, \frac{11}{26}, \frac{21}{44}\) (c) \(\frac{101}{1426}\) (d) \(\frac{8}{9}\) In group interview their are _____ a. If the chance that a ship arrives safely at a port is \(\frac{9}{10}\); find the chance that out of 5 expected ships, atleast 4 will arrive safely at the port. Mathematics Practice Test Page 3 Question 7 The perimeter of the shape is A: 47cm B: 72cm C: 69cm D: 94cm E: Not enough information to find perimeter Question 8 If the length of the shorter arc AB is 22cm and C is the centre of the circle then the circumference of the circle is: The test is a three-hour examination based on material usually covered in undergraduate mathematics courses in math-ematical probability and statistics. (d) 0.96 Free PDF Download of CBSE Maths Multiple Choice Questions for Class 12 with Answers Chapter 13 Probability. Probability Multiple Choice Questions Worksheets . When all (c) \(\frac{1}{2}\). Basic Probability Multiple Choice Questions Pdf Question 22. The shopkeeper draws one pen at random and gives it to her. (c) \(\frac{1600}{81}, \frac{200}{9}\) A bag contains 20 tickets, numbered 1 to 20. If A and B are two independent events, then the probability of occurrence of at least of A and B is given by Two balls are drawn at random and are found to be white. (b) \(\frac{4}{9}\) Describe the likelihood of the event given its probability. (c) \(\frac{4}{5}\) Question 1. a. Answer: Answer: (c) 1 – P(A’) P(B’) Question No : 6 From a pack of 52 cards, 1 card is drawn at random. (d) -1.8, Question 21. He has a son, Jatin. (b) \(\left(\frac{1}{2}+\frac{1}{2}\right)^{25}\) Answer: A pair of dice is thrown 200 times. 'Probability Multiple Choice Questions With Answers Pdf May 12th, 2018 - How to Do Well on Multiple Choice Questions Probability multiple choice questions with answers pdf Multiple choice exams are popular among educators as they test a student s critical thinking and problem solving skills''Chapter 1 Multiple Choice Questions Pearson Education (d) \(\frac{1}{4}\) (d) \(\frac{1}{13} \times \frac{4}{51}\) The probability that she will buy that pen is. Students can solve NCERT Class 12 Maths Probability MCQs Pdf with Answers to know their preparation level. Download Now! Download Now! Here is the information obtained. Answer: (a) \(\frac{7}{64}\) (b) \(\frac{1600}{81}, \frac{400}{9}\) (d) \(\frac{15}{29}\) Suppose there are 12 students, among whom are three students, M, B, C (a Math Major, a Biology Major, a Computer Science Major). Find P(X < 3), P(X ≥ 4), P(0 < X < 5) respectively. Practice is the only key for […] assigned to the multiple choice questions-part of the exam to copy them into the code sheet. (b) \(\frac{1}{2}\) What is the probability that they are not of same colour. If P(A) = 0.4, P(b) = 0.8 and P(B|A) = 0.6, then P(A ∪ B) equal to (a) \(\frac{103}{1326}\) (c) \(\frac{1}{13} \times \frac{1}{17}\) Answer: Answer: Question 2. (b) \(\frac{7}{128}\) (b) \(\frac{3}{5}\) (P(B’|A’) is equal to (d) \(\frac{7}{12}\), Question 57. They also must be independent. (b) P(E) P(F|E) P(G|EF) (c) Both (a) and (b) Answer: (a) \(\frac{5}{9}\) E(X) is equal to If two batteries are selected without replacement and tested, the probability that both are deal is If two events (both with probability greater than 0) are mutually exclusive, then: A. (b) \(1-P(A / \bar{B})\), Question 26. This paper. Answer: (b) \(\frac{37}{256}\) (c) \(\frac{1}{6}, \frac{1}{7}\) P(B|A) = 1 (a) \(\frac{625}{23329}\) (b) P(A|B) = \(\frac{P(A \cap B)}{P(B)}\), Question 61. The value of k is (a) A and B are mutually exclusive Download the largest collection of free MCQs on Statistics for Competitive Exams. One interviewer and one interviewee b. 86 Downloads Grade 3 Probability on Markers. Probability Multiple Choice Questions Pdf Question 19. Maths MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. A lot consists of 144 ball pens of which 20 ae defective and the others are good. Question 15 A box contains six red marbles and four blue marbles. (b) 1 – P(A) P(B’) (a) P(E) . Two cards are drawn successively from a well shuffled pack of 52 cards. In the multiple choice questions-part of the exam there is always only one correct answer for every question. (d) \(\left(\frac{9}{10}\right)^{5}+\frac{1}{2}\left(\frac{9}{10}\right)^{4}\) (c) \(\frac{7}{8}\) The variance of random variable X i.e. (a) 0.87 What is the probability of choosing two books of different colors? In the following multiple choice questions, circle the correct answer. (d) \(\frac{17}{30}\) (b) \(\frac{101}{1326}\) The rst question has 3 possible answers, the second has 4 possible answers and the third has 3 possible answers. Eight coins are thrown simultaneously. (b) \(\frac{8}{15}\) Three unbiased coins are tossed, what is the probability of getting at least 2 tails ? (d) \(\frac{1}{10}, \frac{1}{5}\), Question 41. (d) \(\frac{1}{5}\), Question 62. (c) \(\frac{2}{3}\) (d) \(\frac{620}{23328}\) (c) \(\frac{2}{9}\), Question 45. (c) 0.61 If the sum and the product of the mean and variance of a binomial distribution are 24 and 128 respectively, then find the distribution. (d) 1 – P(A’) P(b) (a) \(\frac{1}{2}\) (c) \(\frac{5}{14}\) (b) \(\frac{3}{8}\), Question 10. If two events A and B area such that \(P(\bar{A})\) =0.3, P(B) = 0.4 and \(P(B | A \cup \bar{B})=\) (d) \(1-\frac{9^{10}}{10^{10}}\) What is the probability that atleast one ball is red? Find the probability of two successes, if the event was conducted times. What is the probability that ball is white. (b) \(\frac{2}{21}\) (b) \(\frac{1}{4}\) Then P(B’ ∩ A) equals Multiple choice questions with answers Organizational Behaviour & Management (Hogeschool Rotterdam) Multiple choice questions with answers Organizational Behaviour & Management (Hogeschool Rotterdam ... Download Full PDF Package. (d) \(\frac{2}{5}\) 167 Combinatorics – Answer Key Multiple Choice Key: 1. Examination 110 – Probability and Statistics Examination Sample Examination Questions The Probability and Statistics Examination consists of 45 multiple-choice test questions. Answer: Two books are selected randomly. Answer: If it is known that the sum of numbers on the dice was less than 6, the probability of getting a sum 3, is Answer: If getting a doubled is considered a success, then find the probability distribution of a number of successes. The probability, that both cards are queens, is (a) 4 1/3. (b) 0.2048, Question 52. Answer: 749 Downloads Grade 3 Calculate the Probability. Ten eggs are drawn successively with replacement from a lot containing 10% defective eggs. Category Archives: basic probability multiple choice questions pdf Basic probability multiple choice questions pdf. B. The probability of drawing 2 green balls and one blue ball is (d) \(\frac{31}{256}\) What is the probability that one is red and other is green? (c) \(\left(\frac{1}{2}+\frac{1}{2}\right)^{32}\) (b) P(A|B) = \(\frac{P(A \cap B)}{P(B)}\) Assuming you do not know the answer to a five-choice multiple-choice question, each answer choice has the same probability of being correct. Attendees were asked to complete a survey to determine what they did after graduation. (c) \(\frac{3}{10}\) C 25. Free PDF Download of CBSE Maths Multiple Choice Questions for Class 12 with Answers Chapter 13 Probability. By Gajinn | 27.05.2020. 131 Downloads Grade 3 Find the Probability. C 38. From the remaining cards of the pack, two cards are drawn and are found to be both clubs. Answer: Answer: (b) \(\frac{5}{7}\) (a) \(\left(\frac{1}{4}+\frac{3}{4}\right)^{32}\) Answer: (b) \(1+\frac{7^{10}}{10^{10}}\) Answer: (a) \(1-\frac{7^{10}}{10^{10}}\) Answer: Probability Multiple Choice Questions Pdf Question 19. (a) \(\frac{91854}{100000}\) (d) 0.7, Question 12. (c) \(P(\bar{E} | F)+P(E | \bar{F})=1\) (c) 2 (a) \(\frac{37}{246}\) (a) \(\frac{91854}{100000}\), Question 49. If P(A ∩ B) = \(\frac{7}{10}\) and P(b) = \(\frac{17}{20}\), P(A|B) equals (a) \(\frac{1}{2}\) A box has 6 black, 4 red, 2 white and 3 blue shirts. (b) \(\frac{21}{256}\) (d) \(\frac{31}{256}\) 1/8. (d) \(\frac{3}{4}\) Multiple Choice questions (MCQs) in Statistics for Competitive Exams on Basic probability Statistics MCQs – Basic probability Part 1 Doorsteptutor material for NEET is prepared by world's top subject experts: fully solved questions with step-by-step explanation - practice your way to success. (c) \(\frac{1}{4}\), Question 59. A coin is biased so that the head is 3 times likely to occur as a tail. Answer: \(\sigma_{x}^{2}\) or var (X) is equal to (c) \(\frac{2}{3}, \frac{1}{3}\) Which of the following is non-probability sampling? (b) \(P(E | F)+P(E | \bar{F})=1\) (d) None of these If A and B are two events sue that P(A) = \(\frac{1}{2}\), P(b) = \(\frac{1}{3}\), P(A|B) = \(\frac{1}{4}\) then (A’ ∩ B’) equals Probability Free response and multiple choice questions on this topic address probability models, general probability rules, independence, conditional probability, and simulations. A uniform probability model occurs when all the probabilities in a probability model are equally likely to occur. Answer: (a) \(\frac{5}{8}\) (b) 5 Multiple choice and true or false type questions are also provided. (c) \(1+\frac{9^{10}}{10^{10}}\) (b) 0.77 Answer: A box contains 3 orange balls, 3 green balls and 2 blue balls. (d) P(A) + P(B) = 1 Probability is a measure of the likelihood that an event will occur. (b) \(\frac{37}{256}\), Question 9. (a) \(\left(\frac{9}{10}\right)^{5}\) (b) \(\frac{17}{20}\) C 13. Answer: (b) \(\frac{35}{18}\left(\frac{5}{6}\right)^{4}\), Question 5. What is the probability that all balls are white? What is the total number of di erent ways in which this survey could be completed? (a) \(\frac{9}{38}\) (a) 0.2623 E(X2) is equal to He throws a die and reports that it is a six. (a) \(\frac{1}{4}\) Answer: How to solve Aptitude Probability problems? (c) \(\frac{45}{1024}\) (c) \(\frac{2}{3}\) C 39. (b) 0.77, Question 47. Suppose a random variable X follows the binomial distribution with parameters n and p, where 0 < p < 1. In what percentage of cases are they likely to contradict each other, narrating the same incident, Question No : 5 A box contains 20 electric bulbs, out of which 4 are defective. We want to send a delegation of four students (chosen from the 12 students) to a convention. Save my name, email, and website in this browser for the next time I comment. If P(A) = \(\frac{3}{10}\), P(b) = \(\frac{2}{5}\) and P(A ∪ B) = \(\frac{3}{5}\), then P(B|A) + P(A|B) equals ____ 1. Show your work when completing a probability question. A 15. (a) \(\frac{37}{256}\), Question 55. (b) \(1-P(A / \bar{B})\) (c) \(\frac{2}{9}\) Answer: Find the probability that one is a red card the other is a queen. 2. (a) \(\frac{3}{4}\) Question No : 3 From a pack of 52 cards, two cards are drawn together, what is the probability that both the cards are kings, Question No : 4 A speaks truth in 75% of cases and B in 80% of cases. (a) 0 P(F|E) A lot consists of 144 ball pens of which 20 ae defective and the others are good. (b) 3 Chapter 10 Practice Test Probability Multiple Choice Identify the choice that best completes the statement or answers the question. If A and B are two independent events such that \(P(\bar{A} \cap B)=\frac{2}{15}\) and \(P(A \cap \bar{B})=\frac{1}{6}\), then find P(A) and P (B) respectively. (d) \(\frac{19}{246}\) (b) \(\frac{135}{392}\) (d) \(\frac{2}{5}\) 3. Probability distributions quiz questions and answers pdf… If E and F are events such that 0 < P(F) < 1, then Answer: (c) \(\frac{15}{56}\) Answer: (a) \(\frac{720}{729}\) Random c. Cluster d. Stratified. A bag contains 4 balls. Answer: (c) \(\frac{25}{42}\) If A and Bare events such that P(A) = \(\frac{1}{3}\), P(b) = \(\frac{1}{4}\) and P(A ∩ B) = \(\frac{1}{12}\), then find P(not A and not B). (c) \(\frac{2}{5}\) Answer: (c) \(\frac{219}{256}\) (d) \(\frac{167}{168}\) (c) \(\frac{18}{29}\left(\frac{2}{3}\right)^{4}\) (c) P(A) = P(B) Review Questions Multiple Choice Questions forReview 1. If you have any query regarding CBSE Class 12 Maths Probability MCQs Pdf, drop a comment below and we will get back to you at the earliest. Answer: (c) \(\frac{1}{8}\) Answer: (b) \(\frac{1}{2}\left(\frac{9}{10}\right)^{4}\) Answer: (a) \(\frac{45}{196}\) You can easily solve all kind of Aptitude questions based on Probability by practicing the objective type exercises given below, also get shortcut methods to solve Aptitude Probability problems. Answer: Comprehensive and up-to-date question bank of mutiple choice objective practice questions and answers on Statistics for Competitive Exams. If the second ball drawn is green, what is the probability that the first ball was drawn in also green? The class of 1968 and 1998 held a joint reunion in 2008 at the local high school. (c) \(\frac{7}{8}\) (a) \(\frac{400}{9}, \frac{1600}{81}\) (a) 1 – P(A) P(b) 1/6. D 2. If A and B are two events and A ≠ Φ, B ≠ Φ, then (a) \(P(E | F)+P(\bar{E} | F)=1\), Question 28. Answer: Two marbles are drawn from the box, without replacement. (c) \(\frac{1}{14}\) In a binomial distribution, the sum of its mean and variance is 1.8. (c) 32 For the following probability distribution: Answer: Find the probability of a face card drawn. (a) \(\frac{1}{4}\) C. They cannot be independent. 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Answer: (a) \(\frac{14}{17}\) Find the probability that it is actually a six. Answer: A pair of the die is thrown 4 times. (d) 1 What is the probability that out of a sample of 5 pens drawn one by one with replacement at most one is defective? Answer: (c) 0.302 The probability of getting both heads is [Foreign 2013] Answer/ Explanation. Sample Final Questions (Note: These are mostly multiple choice, for extra practice. If the coin is tossed twice, then find the probability distribution of the number of tails. (c) \(\frac{59049}{100000}\) (b) \(\frac{7}{128}\), Question 19. Free Response Question 1 In a small town, there are three doctors that practice medicine in the town’s clinic. (c) \(\frac{1}{2}\) Two cards are drawn at random one by one without replacement from a pack of 52 playing cards. (a) \(\frac{1}{4}\) (d) \(\frac{1}{5}\) (c) \(\frac{1}{8}\), Question 14. (b) \(\frac{621}{25329}\) (a) \(\frac{1}{12}\) A bag contains 6 red, 4 blue and 2 yellow balls. Answer: (b) \(\frac{3}{4}\) Answer: (d) 48 (d) \(\frac{26244}{100000}\) (a) P(A|B) = P(A) . Two events A and B will be independent, if 2/11 b. (a) \(\frac{11}{50}\) Every question correctly answered is worth 1 point, while each question incorrectly answered will penalize your grade by 0.2 points. If the sum of the mean and variance of a binomial distribution is 15 and the sum of their squares is 17, then find the distribution. (d) \(\frac{1}{8}\) Three balls are drawn at random. A 37. (b) \(\frac{5}{7}\), Question 58. (c) 1 – P(A’) P(B’), Question 37. (c) 0.48 (d) \(\frac{3}{16}\) MULTIPLE CHOICE QUESTIONS ON BASIC PROBABILITY . Select: Download Now! A box has 100 pens of which 10 are defective. (c) \(\frac{5}{12}\) A and B are events such that P(A) = 0.4, P(b) = 0.3 and P(A ∪ B) = 0.5. Three balls are drawn at random from the box without replacement. (a) \(\frac{1}{2}, \frac{1}{3}\) A random variable X has the following probability distribution: Answer: Answer: Question 4. Tanu will buy a pen if it is good but will not buy if it is defective. (c) 32, Question 20. (b) P(A’ ∩ B’) = [1 – P(A)] [1 – P(B)] 7E-9 Three friends and seven other people are randomly seated in a row. The probability that at least one of these is defective is. (d) \(\frac{19}{50}\) A man is known to speak truth 3 out of 4 times. (b) \(\frac{101}{1326}\), Question 40. Answer: Download Now! Two balls are drawn one after another (without replacement) from a bag containing 2 white, 3 red and 5 blue balls. The probability of guessing correctly at least 8 out of 10 answers on a true-false type examiniation is (c) \(\frac{1}{2}\left(\frac{9}{10}\right)^{5}\) (b) \(\frac{1}{3}\) You can also list all of your correlations. (c) P(A|B) . (b) \(\frac{3}{5}\), Question 44. A bag contains 5 red and 3 blue balls. (d) \(\frac{1}{3}\) (a) \(\frac{11}{50}\), Question 46. The shopkeeper draws one pen at random and gives it to her. (c) \(\frac{1}{2}\) Answer: (c) \(\frac{1}{5}\), Question 17. 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