Replacement and Probability

This lesson will help to develop students' understanding of sampling with and without replacement and its effects on the probability of drawing a desired object. The site also provides links to related discussions and activities and has suggestions to work them into the lesson. It also provides links to follow-up lessons. The student will determine if two events are independent or dependent.

Weblink address (URL):

Standards & Objectives

Learning objectives:

Upon completion of this lesson, students will:

have taken a closer look at probability
have learned the difference between sampling with and without replacement

Lesson Variations

Blooms taxonomy level:

Understanding

Helpful Hints

Materials:

Access to a browser
Pencil and paper
Copies of the supplemental materials:
- For the Marble Bag activity, each student/team needs:
  - 10 to 20 marbles of varying colors
  - A bag or some other type of container
  - Marble Bag Worksheet
- For the Two Colors game:
  - three identical containers (e.g., small boxes or opaque cups)
  - six objects of two different colors (three of each color), such as marbles or poker chips. The objects have to fit in the containers and have to be indistinguishable from each other by touch.
  - The Two Colors Table to tally the results
  - Two Colors Worksheet
All activities in the lesson are better experienced by using the software, with individual students or small groups of students having enough time to explore the games and find answers to the related questions. If the activities have to be set up physically, the above materials are necessary (one set of materials for each group of students that will be doing the activity).

References

Contributors:

Lisa Leach

Originator:

Ayers Institute for Learning & Innovation