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Dice Difference Game

Page history last edited by LFS 14 years, 6 months ago

Home > Teaching Tools > Scratch > Probability and Statistics with Scratch > Dice Difference Game


Dice-Difference Game

The Game: We throw 2 dice - 1 Blue and 1 Green. What is the difference in values? The difference can be 0, 1, 2, 3, 4, or 5. I say to my friend: "I win if the difference is a 0, 1 or 2 and you win if it is a 3, 4 or 5. Each of us has 3 chances to win. Let's play!"  Question: Would you play?

 

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now) Click on the cats at left to do a single roll or 100 rolls!  

Guided Activity

Do the experiment 200-1000 times.

  • Is my game fair?
  • Which difference seems to happen the most often?
  • Which difference seems to happen the  least often? 

Now for some dreaded theory ...

  • Make a table with the value of the green die across the top row and the value of the blue die going down the first column and the difference between the values at their "intersection". Show me!
  • Theoretically, how many possible combinations of dice can be thrown?
  • Theoretically, how many of these combinations will have a difference of 1?
    • How many ways can a difference of 5 happen?
    • What percentage of times should 0 happen?
  • Does this agree with your experimental results?
  • What is the percentage of times that a 0, 1 or 2 occurs? How about a 3, 4 or 5?
Metadata         
Global Dice Difference - Equally Likely Events?
Brief InterActivity-Dice Difference Game - Are you sure you want to play?
Grade 6 and up
Strand Probability and Statistics
Standard CA6 SP3-1
Keywords probability, equally likely events, dice, scratch, dynamic, freeware, applet, offline, online
Comments Linda's favorite probability game
Credits MathForum@Drexel, who introduced me to Scratch
Download Download zip
Author LFS - contact
Type Freeware - Available for Offline Use - Translatable (html)
Use Requires sunJava player

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