# A Never-Fail Method for Probabilistic ProblemsMandarin Mathematics

### Instructors

Enming Qing
AP Economics, TOEFL and SAT instructor
Verakin High School of Chongqing
Chongqing, China

AP经济学， 托福和SAT教师

## Introduction

This lesson focuses on calculating the probability of random events. The main goal is to offer students some insights on probability through the understanding of sample space and use of the tree model. The lesson lasts approximately 50 minutes. To conduct this course, the instructor needs to prepare a spinning wheel, which could be self-made, and also some prizes for those lucky winners in the spinning wheel game. Regarding the student activities, here are a few suggestions: 1. In the actual spinning wheel game, teachers can change the number of participants and the ratio of boys to girls as well. 2. When drawing the tree models, teachers could explain the branches and the nodes to the students, show students the steps of drawing a tree model and ask them to practice for several times to help familiarize them with tree models. 3. Teachers should encourage students to figure out different ways to calculate probability, such as the empirical way.

## Instructor Biography

Enming received her bachelor’s degree in Mathematics and master’s degree in Financial Engineering from the Johns Hopkins University. Since graduation, she has worked with overseas study programs. She has taught AP Economics for four years, and TOEFL and SAT for five years. More than twenty of her students have been admitted to the world’s top 50 universities. Read more at: http://www.ams.jhu.edu/~eqing/CV.html

## For Teachers

This site by Khan Academy provides a comprehensive introduction to probability.

Math Goodies Introduction to Probability
This resource, sponsored by Math Goodies, presents a series of activities for introducing students to the subject of probability.

Wikipedia: Independence (probability theory)
This Wikipedia resource discusses the concept of Independence in Probability.

Wikipedia: Collectively exhaustive events
This Wikipedia resource discusses the concept of Collectively Exhaustive Events in Probability Theory.

Wikipedia: Mutual exclusivity
This Wikipedia resource discusses the concept of Mutual Exclusivity in Probability Theory.

MIT BLOSSOMS video: The Monty Hall Problem or How to Outsmart a Game Show and Win a Car
This url is for a BLOSSOMS lesson that also introduces Probability.