University of Illinois at Urbana-Champaign
MSTE
Office for Mathematics, Science, and Technology Education
College of Education @ University of Illinois

The Dice Game

Description

Learn to understand probability with the Dice Game! You begin with 10 chips. Drag these chips onto the numbered squares or click on a number to automatically move a chip to that square. These squares are numbered with the possible totals that you can roll with two dice, 2 through 12. When a chip is placed a number will appear in the middle of the chip, letting you know how many chips you have set on that square.

When you have placed all of your chips, roll the dice by clicking the "Roll Dice" button in the upper right hand corner. If you have a chip on the numbered square that you roll, that chip will be removed. Your goal is to have all of your chips removed as quickly as possible. You want to minimize the number of rolls that this takes you. Think about how likely it is to roll each number and place your chips accordingly.

Once you get the hang of the game, choose to either simulate 10, 100, or 1000 games from the menu (instead of "Play The Game"), place your chips, and hit the "Roll Dice" button. We will quickly randomly roll the dice for you and tell you the average number of rolls it takes to remove all of your chips. This feature will significantly speed up the game for you.

Simulation

Applet Source: DiceGame.java , Written by Kristen Carvell

 

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