Using Actuarial Exam Problems to Teach Probability

This article describes how practice problems for the actuarial examination in probability can be used to encourage active, collaborative learning.     

Experimental Probability in Elementary School

Concepts in probability can be more readily understood if students are first exposed to probability via experiment. Performing probability experiments encourages students to develop understandings of probability grounded in real events, as opposed to merely computing answers based on formulae.     

In All Probability,Probability is not All

The national lottery is often portrayed as a game of pure chance with no room for strategy. This misperception seems to stem from the application of probability instead of expectancy considerations, and can be utilized to introduce the statistical concept of expectation.     

The Game of Luk KOW

Luk Kow is a Chinese game played with three dice. Students may find it interesting to simulate the game and to study its properties.     

Some Questions on Probability

This article critically explores several issues related to requirements for probability teaching in various national curricula.     

What is the Applied Probability Trust?

This is the third and last in the short series of articles outlining the work of the organisations that sponsor Teaching Statistics.     

信息科学视野中的概率哲学问题——评吉利斯对概率逻辑的哲学解释

人工智能的发展导致了概率理论尤其是贝叶斯网络理论的显著改革,这些改革冲击着科学哲学的三个中心问题:贝叶斯主义与非贝叶斯主义的争论;概率的解释;因果性和概率的关系。吉利斯对这些问题进行了哲学的探讨,他认为,客观概率的使用符合波普尔的统计测验方法,而主观概率的使用符合贝叶斯形式的方法。     

The Game of Tai Sai

In this article Ann-Lee Wang describes a gambling game that many Malaysians engage in. often illegally. The game is called “Tai Sai” which literally means “Big Small” in Chinese. There are two versions of the game, both of which provide interesting problems for teachers of introductory courses in probability. Both versions use three dice.     

概率加法公式的简单推导

基于两个事件的概率加法公式,推导出了3⁵个事件的概率加法计算公式。通过总结多个事件概率加法公式的一般规律,得到n个事件的概率加法公式。     

Cleaning data: guess the olympian

This article tackles the problem of what should be done with real textual data that are contaminated by errors of recording, particularly when the data contain words that are misspelt, unintentionally or otherwise.     

Probability With Less Pain

The teaching of probability theory has been steadily declining in introductory statistics courses as students have difficulty with handling the rules of probability. In this article, we give a data‐driven approach, based on two‐way tables, which helps students to become familiar with using the usual rules but without the formal structure.     

Probability with Roulette

This article describes how roulette can be used to teach basic concepts of probability. Various bets are used to illustrate the computation of expected value. A betting system shows variations in patterns that often appear in random events.     

用回溯和概率相结合的算法讨论8皇后问题

8皇后问题是计算机算法设计领域里的经典问题。利用回溯算法和概率算法相结合的办法求解8皇后问题,通过实验分析第一次成功搜索到皇后位置的概率,以实验得出的数据为依据对现存的观点提出了质疑,并对实验数据进行了分析,肯定了本文数据的合理性。     

We Can Still Learn About Probability by Rolling Dice and Tossing Coins

Rolling dice and tossing coins can still be used to teach probability even if students know (or think they know) what happens in these experiments. This article considers many simple variations of these experiments which are interesting, potentially enjoyable and challenging. Using these variations can cause students (and teachers) to think again about the statistical issues involved – and learn in the process.     

Formulating and Using Probability Density Functions with Familiar Geometric Shapes

This note shows how some density functions for continuous probability distributions can be constructed in a transparent manner to help students appreciate their development.     

在概率统计教学中培养学生创造性思维能力

在概率统计教学中，吃透教材，创设问题情景，把培养学生创造性思维能力作为教学核心，培养学生思维的抽象性、创造性、发散性、深刻性、独创性和运动性。     

How much is it going to cost me to complete a collection of football trading cards?

Trading cards for various sports and a range of other subjects such as architecture, animals, hobbies, and war have been in existence since the late nineteenth century and still enjoy great popularity. Two of the most prominent examples are baseball cards in the U.S. and football cards in Europe. Three strategies for collecting European football trading cards were investigated for two different groups: either a single collector or two collectors joining forces. An activity is proposed in which students use a simulation to compute the factor by which the number of trading cards bought exceeds the number to be collected. This enables them to estimate the expected costs of completing a collection of trading cards. The overall expected costs vary considerably, depending on the strategy used. Savings for a team of two collectors as opposed to a single collector are indicated.     

《概率论与数理统计》的教学探索

本文以概率论与数理统计的教学实践为基础,从加强教材建设、激发学习兴趣、采用多种教学方法、引进多媒体教学等四个方面,对《概率论与数理统计》课程的教学提出了几点建议,以此提高教学质量。