 | A nice set of dice 2016 - Mathematics B-day | © freudenthal institute | 6 views | Home | |
Task
 | A nice set of dice A soccer competition is often exciting until the end. Some strange results can occur along the way. For example, if Ajax beats PSV and PSV beats Feyenoord it does not imply that Ajax then beats Feyenoord. It is not unthinkable that Feyenoord still beats Ajax. In this case, which of these three teams is the strongest team remains unclear. But that's soccer. During the Mathematics B-day this year, we examine whether this also occurs when you are rolling dice. We study this using a simple game of dice: both players have a die, they throw it, and the one with the highest number of dots wins. Sets of dice where there is no strongest dice exist, and for the main exercise you will make such a set. Dutch version |
Background information
|
Mathematics B-day During the Dutch Mathematics Day Contest students work in teams of about 3 to 4 members on an open mathematical problem solving task during a couple of hours. The product of this work is a report (and sometimes a presentation). |
Using your skills in a new setting The task gives the students the opportunity to show what they have learned from mathematics and how they can use the knowledge and skills in a new situation. |
| Freudenthal Institute: Home - Utrecht University | Freudenthal Collection: Home - Showcase - Archive | Subset: Mathematics B-day |
