There are 10 distinct sum values that can occur, and some of those sums occur more often than others.
A certain game determines the movement of players' game pieces based on the SUM of the numbers on the face down sides when two dice are rolled.Suppose that for these two dice, the possible values (corresponding to the four sides of the die) that can be obtained from each die are as follows: These dice are in the shape of a pyramid, and when a die is rolled, the outcome is determined by the side that lands face down. Imagine a game in which two fair four-sided (tetrahedral) dice are rolled simultaneously. Many games also use the sum of two dice rolled at the same time to determine movement of game pieces. Many games use dice which are six-sided and fair (meaning each face on the die is equally likely to land face up).
