## Stick or Switch?

#### Grade Levels

##### 10th Grade, 11th Grade, 12th Grade, 6th Grade, 7th Grade, 8th Grade, 9th Grade

#### Course, Subject

#### Description

This lesson plan presents a classic game-show scenario. A student picks one of three doors in the hopes of winning the prize. The host, who knows the door behind which the prize is hidden, opens one of the two remaining doors. When no prize is revealed, the host asks if the student wishes to "stick or switch." Which choice gives you the best chance to win? The approach in this activity runs from guesses to experiments to computer simulations to theoretical models. This lesson was adapted from an article written by J. Michael Shaughnessy and Thomas Dick, which appeared in the April 1991 issue of the *Mathematics Teacher*.

#### Web-based Resource

Access this resource at:

### Stick or Switch?

#### Content Provider

Illuminations is a project designed by the National Council of Teachers of Mathematics (NCTM) and supported by the Verizon Foundation. Illuminations works to serve you by increasing access to quality standards-based resources for teaching and learning mathematics, including interactive tools for students and instructional support for teachers.