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所在平台: Udemy |
课程主页: https://www.udemy.com/course/probability-part-2/
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《概率学进阶：第二部分》课程总结 本课程是《概率学进阶》系列的第二部分，旨在深化学员对概率论基础概念的理解和应用。课程通过一系列生动具体的例子，涵盖了基本概率计算、互斥事件、对立事件以及复合事件的概率求解。 课程内容主要包括： * **基本概率的计算**：通过糖果、硬币、鱼类等简单场景，讲解如何根据样本空间和事件发生的可能性来计算特定事件的概率，例如从只含柠檬糖的袋子中取出橙味糖的概率（为0），以及取出柠檬糖的概率。 * **对立事件的概率**：通过生日问题，阐述了如何利用对立事件的概念来求解概率。例如，知道两人不同生日的概率，可以推算出两人相同生日的概率。 * **互斥事件与非互斥事件的概率**：使用红球和黑球的例子，演示了如何计算取出红球或非红球的概率。此外，通过包含不同颜色弹珠的盒子，讲解了计算取出特定颜色弹珠以及非特定颜色弹珠的概率。 * **包含多种离散可能性的事件概率**：以硬币和鱼类为例，以及一个包含不同面值硬币的储蓄罐，说明了即使在有多种可能性的情况下，如何计算特定类型硬币掉落的概率。 * **复合事件的概率**：通过一个包含1到8数字的转盘游戏，详细讲解了如何计算指针指向特定数字（如8）、奇数、大于2的数或小于9的数的概率。 * **骰子概率计算**：在投掷一次骰子的场景下，演示了如何计算出现质数、介于2和6之间（不含2和6）的数以及奇数的概率。 总而言之，《概率学进阶：第二部分》课程通过丰富的实际问题，帮助学员掌握不同类型事件的概率计算方法，为进一步学习概率论及相关统计领域打下坚实基础。
1. A bag contains lemon flavoured candies only. What is the probability of getting an orange flavoured candy? How to calculate the probability of getting a lemon candy?2. In a group of 3 students, the probability of 2 students not having the same birthday is given. How to calculate the probability of 2 students having the same birthday?3. A bag contains red balls and black balls. How to calculate the probability that ball drawn is (i) red (ii) not red?4. A box contains red, white and green marbles. How to calculate the probability that the marble taken out is (i) red (ii) white (iii) not green?5. A piggy bank contains coins of different denomination. If one of the coins falls when the piggy bank is turned upside down, what is the probability that the coin (i) will be a 50 p coin (ii) will not be a Rs.5 coin?6. A tank contains male fish and female fish. What is the probability that the fish taken out is a male fish?7. A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers from 1 to 8. What is the probability that it will point at (i) 8 (ii) an odd number (iii) a number greater than 2 (iv) a number less than 9?A dice is thrown once. How to find the probability of getting (i) a prime number (ii) a number lying between 2 and 6 (iii) an odd number?
