Imagine a game in which two people roll a dice and whoever gets the higher number wins. A prize is awarded to the person winning most times after 100 games.

The catch is the dice don’t have the numbers one to six on their faces. There are four different dice and you are allowed to choose which dice you will play with.

Which dice would you choose to give you the best chance of winning the prize?

Topics: Starter

How did you use this starter? Can you suggest
how teachers could present or develop this resource? Do you have any comments? It is always useful to receive
feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.

Click here to enter your comments.

If you don't have the time to provide feedback we'd really appreciate it if you could give this page a score! We are constantly improving and adding to these starters so it would be really helpful to know which ones are most useful. Simply click on a button below:

Excellent, I would like to see more like this

Good, achieved the results I required

Satisfactory

Didn't really capture the interest of the students

Not for me! I wouldn't use this type of activity.

Good, achieved the results I required

Satisfactory

Didn't really capture the interest of the students

Not for me! I wouldn't use this type of activity.

This starter has scored a mean of 2.0 out of 5 based on 1 votes.

Previous Day | This starter is for | Next Day

The answer is a bit like rock, paper, scissors. Whichever dice you choose, your opponent could always pick one of the remaining dice that has a better chance of beating you in the long term. Construct the possibility spaces for the possible dice pairings to see for yourself.

Blue beats red, red beats green, green beats yellow and yellow beats blue!

23rd Feb 2018: Just found a great article about non-transitive dice by the wonderful Dr James Grimes.

More Mathematics Lesson Starters

How did you use this resource? Can you suggest how teachers could present, adapt or develop it? Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for Maths teachers anywhere in the world. Click here to enter your comments.

Your access to the majority of the Transum resources continues to be free but you can help support the continued growth of the website by doing your Amazon shopping using the links on this page. Below is an Amazon search box and some items chosen and recommended by Transum Mathematics to get you started.