Skip to content # Match or No Match

## Activity Guide

# This guide looks at the activity in detail and goes into the underlying math.

Lanaghan, Sharon. (2022). Math or No Match. In S. Bowen (Ed.), Math Circle Activity Database. American Institute of Mathematics. https://mathcircles.org/activity/match-or-no-match

Contributor(s): Sharon Lanaghan

Math Circles: MTC Network

- Activity Description
- Topics Covered
- Session Styles
- Mathematical Practices

In this session, participants will explore the Match-No Match game: two players each draw one chip out of a bag – if the color of the chips match Player 1 wins, if not Player 2 wins. Under what conditions is this a fair game? How do we know? How can we construct a fair game? What variations of this game are possible? Participants will explore these questions to determine how this game connects to other mathematical problems.