Probability Exercise 13.1 CBSE Board Class 12TH Math Important Questions Special Class Part 2
In this video, we will discuss some of the important questions from CBSE Board exams on probability. Topics covered in this video: Basic concepts of probability Conditional probability Bayes' theorem Binomial distribution Poisson distribution Normal distribution Questions covered in this video: Question 1: A bag contains 5 red balls and 3 green balls. Two balls are drawn at random without replacement. What is the probability that both balls are red? Question 2: A coin is tossed three times. What is the probability of getting at least two heads? Question 3: A box contains 10 balls numbered from 1 to 10. Three balls are drawn at random without replacement. What is the probability that the sum of the numbers on the balls is 15? Question 4: A card is drawn at random from a pack of 52 cards. What is the probability that it is either a spade or a king? Question 5: A box contains 4 red balls, 3 green balls, and 2 blue balls. Two balls are drawn at random without replacement. What is the probability that one ball is red and one ball is green? Question 6: A coin is tossed four times. What is the probability of getting exactly two heads? Question 7: A box contains 10 balls numbered from 1 to 10. Two balls are drawn at random without replacement. What is the probability that the difference between the numbers on the balls is 3? Question 8: A card is drawn at random from a pack of 52 cards. What is the probability that it is either a face card or an ace? Question 9: A box contains 4 red balls, 3 green balls, and 2 blue balls. Three balls are drawn at random without replacement. What is the probability that all three balls are of the same color? Question 10: A coin is tossed five times. What is the probability of getting at least three heads? Solutions to the questions: Question 1: The probability of drawing two red balls without replacement is 5/8 * 4/7 = 5/14. Question 2: The probability of getting at least two heads is 3/8 + 3/8 + 1/8 = 7/8. Question 3: The probability of getting a sum of 15 is 3/10 * 2/9 * 1/8 = 1/120. Question 4: The probability of getting a spade or a king is 13/52 + 4/52 = 17/52. Question 5: The probability of getting one red ball and one green ball is 4/9 * 3/8 + 3/9 * 4/8 = 2/3. Question 6: The probability of getting exactly two heads is 6/16 = 3/8. Question 7: The probability of getting a difference of 3 is 4/10 * 3/9 + 3/10 * 4/9 = 4/15. Question 8: The probability of getting a face card or an ace is 12/52 + 4/52 = 16/52. Question 9: The probability of getting all three balls of the same color is 4/10 * 3/9 * 2/8 + 3/10 * 2/9 * 4/8 + 2/10 * 4/9 * 3/8 = 1/15. Question 10: The probability of getting at least three heads is 10/32 + 5/32 + 1/32 = 16/32 = 1/2. I hope this video helps you prepare for your CBSE Board exams. Additional tips: Practice solving as many problems as possible. Understand the concepts thoroughly. Review the formulas regularly. Take breaks and relax before the exam. Get a good night's sleep before the exam. I wish you all the best for your CBSE Board exams! Hastags - #CBSEBoardExams #Probability #Mathematics #CBSEClass10 #CBSEClass12 #BoardExams #ImportantQuestions #MathTricks #StudyTips #ExamPreparation #Education #MathsJackpotAcademy #MJA
