Once students realize that the outcomes of tossing one die are equally likely, they sometimes transfer that knowledge to tossing two dice. This is a common misconception that is best addressed through data collection and analyzing that data rather than through telling. See suggested two-dice games below that students can play to gain experiential knowledge of the results of tossing two dice. Several of the games encourage students to develop better strategies in order to win and their growing understanding of probability will be shaped by these experiences.

After students have had several informal game-playing sessions, introduce the charting of the outcomes of throwing two dice. It is very helpful to give students two different colored dice as they ponder this problem so that they see that they can toss a 3 on the red die and a 4 on the blue die AND vice versa: a 4 on the red die and a 3 on the blue die. Both sum to 7 so they represent two DIFFERENT ways to toss a sum of seven.

Download Two Dice Frequency Chart that requires students to toss two different colored dice, then record both the sum and the numbers thrown on each die.

Download Two Dice Toss Recording Sheet that can be used as a simple Two-Dice Toss game board and to have students create a reference chart of the dice combinations that yield each sum.

from:

http://www.mathwire.com/data/dicetoss2.html