Exercise 11.3 | Probability and Relative Frequency | Mathematics 9| Basic Statistics | FBISE |NBF
Dive into Exercise 11.3 from the Basic Statistics chapter of Class 9 Mathematics, following the National Book Foundation (NBF) syllabus. This video explains fundamental concepts of Probability and Relative Frequency, making it easy for students to grasp statistical principles and solve problems confidently. Aligned with Federal Board exam requirements, this lecture features clear explanations and step-by-step solutions to ensure conceptual clarity and exam success. 📚 Topics Covered: Probability – Understanding the likelihood of events using mathematical principles. Relative Frequency – Explanation with practical examples and problem-solving. Exercise 11.3 – Complete walkthrough of each question in the exercise. This lecture is designed for students who want to strengthen their statistical foundations and perform well in exams. Watch the complete series of lectures for Basic Statistics by exploring our playlist link here:    • Basic Statistics | Chapter 11| Mathematics...  ➡️ Why Watch This Video? Detailed Explanations: Simplified step-by-step approach to Probability and Relative Frequency. Exam-Ready Content: Focused on the NBF syllabus and Federal Board requirements. Real-Life Applications: Relating statistical concepts to everyday scenarios Federal Board of Intermediate and Secondary Education Islamabad Probability and Relative Frequency Exercise 11.3 Lecture Breakdown - Timestamps for Easy Navigation 00:00 – Introduction to Exercise 11.3 and overview of Probability and Relative Frequency. 03:55 – Question 1 (Part i-iv):A letter is chosen randomly from the word "ALLAH." Find the probability of: i. Getting a vowel ii. Getting an H iii. Getting an L iv. Getting a consonant 09:08 – Question 2 (Part i-iii):A garment factory shipped an order of jackets, sweaters, and trousers. Find the probability of: i. Choosing trousers ii. Not choosing a jacket iii. Selecting faculty items 15:12 – Question 3 (Part i-v): A numbered wheel is divided into 8 equal sectors, each labeled with a flower name. Maz spins the wheel. Find the probability of: i. Stopping at "Roses" ii. Stopping at a four-letter flower name iii. Not stopping at "Marigold" iv. Stopping at a three-letter flower name v. Stopping at any flower name 23:14 – Question 4 (Part i-ix): A diagonal die labeled with numbers is rolled once. Find the probability of: i. Getting a 4 ii. Rolling an even number iii. Rolling a multiple of 4 iv. Not rolling a 7 v. Rolling an odd number vi. Rolling a prime number vii. Finding the LCM of 4 and 8 viii. Finding the HCF of 4 and 8 ix. Rolling factors of 12 34:48 – Question 5 (Part i-viii): A one-digit whole number is chosen randomly. Find the probability of: i. Being less than 5 ii. Being greater than 10 iii. Not being the largest one-digit number iv. Being the additive identity of whole numbers v. HCF of 3 and 5 vi. Being the multiplicative identity of real numbers vii. Not being a prime number viii. Being a factor of 9 45:04 – Question 6 (Part i-ii): A coin is tossed 10 times. Complete the table and answer the questions: i. What is the expected frequency of heads if tossed 520 times? ii. What is the expected frequency of tails if tossed 305 times? 48:31 – Question 7 (Part i-iii): A die is rolled 120 times. Complete the table and answer the questions: i. What is the expected frequency of rolling a 6 if rolled 6,000 times? ii. What is the expected frequency of rolling a 1 if rolled 3,000 times? iii. What is the expected frequency of rolling a 2 if rolled 400 times? 52:07 – Question 8 (Part a-e): There are 6 sections in Class 9 named as follows. If one girl is chosen for a national science Olympiad: a. Find the probability of selecting a girl from the "Hazel" section. b. Find the probability of not selecting a girl from the "Hazel" section. c. Verify that answers a and b add up to unity. d. If 6 girls are selected, what is the expected frequency of selecting a girl from the "Orchid" section? e. If 60 girls are selected, what is the expected frequency of selecting a girl from the "Teal" #Exercise11_3 #BasicStatistics #Probability #RelativeFrequency #Class9Mathematics #NBFMaths #FederalBoardMaths #StatisticsConcepts #MathsLecture #MathematicsForBoard #Class9Statistics #ExamPreparation #NBFMathematics #MathsProblemSolving #ProbabilityExplained
