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Access 221+ Video Tutorials For IB Mathematics AI SL/HL - https://nailib.com/ib-resources/ib-ma... https://nailib.com/ib-resources/ib-ma... ----------------------------------------- Want to finally understand theoretical probability in a simple, student-friendly way? In this video, we break down the core ideas of probability from the very beginning — including probability notation, sample space, number of outcomes, and how to calculate probability step by step. If you’re a student learning probability for the first time or revising for exams, this lesson will help you build a strong foundation and avoid common mistakes. ----------------------------------------- From coin tosses and rolling a six-sided die to word-based probability questions, this video explains everything clearly with worked examples. By the end, you’ll know exactly how to use the key formula for theoretical probability and how to identify the event and sample space correctly. ----------------------------------------- 💡 In This Video: ✔️ Introduction to theoretical probability ✔️ What P(A) means in probability notation ✔️ Understanding events in probability questions ✔️ What n(A) means — the number of ways an event can happen ✔️ What n(U) means — the number of outcomes in the sample space ✔️ How to list the sample space for coins and dice ✔️ How to identify even numbers and prime numbers on a die ✔️ The most important formula in theoretical probability: Probability of event A = number of favorable outcomes / total number of possible outcomes ✔️ Worked example: probability of rolling a factor of 12 on a six-sided die ✔️ Worked example: probability of picking a letter from RANDOM that also appears in MATHS ✔️ Common probability thinking skills students need for exam questions ----------------------------------------- Important Timestamps: 00:00:00 Introduction to probability 00:00:08 Starting with theoretical probability 00:00:22 Understanding the notation P(A) 00:00:59 Coin toss example: probability of getting a head 00:01:49 Understanding n(A) 00:02:19 Example: number of ways to roll an even number on a six-sided die 00:03:42 Example: number of ways to roll a prime number on a six-sided die 00:04:58 Understanding n(U) and sample space 00:05:21 Sample space for rolling a six-sided die 00:06:11 Sample space for flipping a coin 00:07:10 The key formula for theoretical probability 00:07:46 Example: probability of rolling a factor of 12 00:10:43 Example: selecting a letter from the word RANDOM 00:11:38 Finding the probability that the letter is also in the word MATHS 00:14:20 Recap and preview of experimental probability ----------------------------------------- ❓ What You’ll Learn in This Video In this video, you’ll learn how theoretical probability works and how to solve basic probability questions using a structured method. You’ll understand how to interpret symbols like P(A), n(A), and n(U), and how to use them in real examples. You’ll also learn how to: define an event identify the sample space count the number of favorable outcomes calculate probability using the correct formula solve probability questions involving dice, coins, factors, primes, and letters This lesson is especially useful for students studying middle school math, high school math, GCSE probability, IGCSE math, IB math foundation topics, and general probability basics. ----------------------------------------- 🌐 Connect with Us for More Resources: Follow us on Instagram for daily inspiration and updates: / nailib_com Visit our website for more IB resources and support: https://nailib.com/ Explore over 3,500 video tutorials by vetted IB examiners and YouTube stars. Gain instant access to all subjects, an IB question bank with over 20,000 IB-like questions, video solutions for real IB past papers, IB flashcards, IB notes with real-world examples, and graded IA/EE samples. Elevate your IB study experience with Nail IB! 🚀