Two dice are RED and one is GREEN.
So if one RED is 4 and the other RED is 5 and the GREEN is 3 we should add together 4 and 5 to make 9 and then subtract the 3 to get a final answer of 6.
Suppose you play a game against a friend. In the Zero-Six game you win if the final score with the 3 dice is zero and she wins if the final score is 6. Is this a fair game? How do you know? What about the Odd-Even game where you win if the final score is odd and she wins if it is even?
You’ll need to roll these dice many times and see what numbers you make each time by doing the addition and subtraction.
In this game it would be good to find out:-
- what are the final answers by doing the addition and subtraction each time?
- what are all the different possible numbers?
- is there a good way of making sure you find them all?
- how will you record what you’ve found out?
Now have a go!
Then you could ask yourself, “I wonder what would happen if, instead, I …?”
Make up your own games with different rules and decide whether your game is fair or not.
Click here to download the Notes for Teachers – Roll These Dice
This activity is adapted from the NRICH task Roll These Dice with permission of the University of Cambridge. All rights reserved. You can experiment by changing the numbers of balls in the interactivity on the NRICH website.