頑想學概率：機率一 (Probability (1))

Go to Course: https://www.coursera.org/learn/prob1

Introduction

# Course Review: 頑想學概率：機率一 (Probability (1)) **Course Overview:** The course titled "頑想學概率：機率一" (Probability (1)) on Coursera serves as an engaging introduction to the fundamental concepts of probability. It is designed to demystify the subject and make learning about probability both enjoyable and applicable to real-life scenarios. By utilizing relatable examples and practical exercises, the course aims to cultivate students' intuitive insights and application skills in probability. **Syllabus Breakdown:** **Week 1: Introduction to Probability** The journey begins with a solid foundation, covering three essential topics: 1. What is the essence of probability? 2. An introduction to set theory, which is integral to understanding probability. 3. Key terminologies in probability that every student should know. This week sets the stage for deeper explorations, encouraging students to appreciate the significance of probability in everyday life. **Week 2: Sacred Axioms and Conditional Probability** In the second week, the course introduces two pivotal topics: 1. The three axioms of probability and their derived properties, establishing a theoretical understanding. 2. The fascinating concept of "conditional probability," which sheds light on how probabilities change based on new information. This week's content is perfectly designed to link theory with practical applications, igniting curiosity among students. **Week 3: Independence and Complex Calculations** Week three dives into: 1. The independence of events, which is crucial for understanding how different probabilities interact. 2. An illustrated approach to calculating complex probabilities, ensuring students can visualize and tackle challenging problems. 3. A discussion on how counting techniques can assist in calculating probabilities, emphasizing the relationship between counting and probability. This week enhances analytical skills and fosters problem-solving abilities. **Week 4: Random Variables and Discrete Distributions** In the concluding week, the course expands into: 1. The concept of random variables, providing a bridge between theory and real data. 2. The cumulative distribution function (CDF) and the probability mass function (PMF), which are essential tools in statistics. 3. Common discrete probability distributions that illustrate various phenomena. The week concludes with a teaser for "Probability (2)," enticing students with the promise of more engaging content ahead. **Recommendation:** I highly recommend "頑想學概率：機率一" for anyone interested in understanding probability, whether you're a complete beginner or someone looking to refresh your knowledge. The course's structure is systematic and logical, making complex concepts approachable. The use of real-world examples helps students see the practicality of probability, encouraging a deeper interest in the subject. Furthermore, the interactive nature of the course, coupled with intriguing assignments, ensures that students remain engaged throughout the learning process. By the end of the course, participants will not only grasp foundational concepts but will also be equipped to apply these ideas effectively in various contexts. For those who find joy in learning and wish to gain insights into the world of probability, this course is a stepping stone towards mastering the subject, paving the way for further exploration in advanced topics. Enroll now, and open the door to a new perspective on probability!

Syllabus

WEEK 1

歡迎來到「頑想學概率：機率一」第一週課程！本週主題有三個： 1. 機率的概論──機率的本質是什麼？ 2. 所有機率課本都會講到的：集合論 3. 機率學中一些重要專有名詞含義的介紹

本週的兩個主題：1. 神聖的機率三公理和衍生的性質 2. 機率學中不能不知道的「條件機率」概念 很有趣哦！

本週的三個主題：1. 不同事件，機率的獨立性 2. 使用圖解的方式計算複雜難算的機率 3. 我們可以怎麼樣利用數數的方式，來幫我們數東西、算機率，這跟算機率有什麼關係？

本週有四個主題：1. 隨機變數的概念 2. 累積分布函數 (CDF) 3. 機率質量函數 (PMF) 4. 常見的離散機率分佈

「頑想學概率：機率一」將在「離散機率分佈」告一段落。 其他更多好玩有趣的機率課程，將會在「頑想學概率：機率二」課程做介紹，我們下次見！