Consider the throwing of the two dice simultaneously. The sum of the faces of the two dice that are face-up after being thrown (or rolled) can be thought of as representing the state of the dice. The number of possible ways a state can be achieved is called the multiplicity of the state and can be used to calculate the probability of the state occurring. Required:
a. What is the multiplicity of the state where the total of the dice is equal to 9?
b. What is the total number of possible states of the dice when they are thrown? Be sure to consider that each possible state may have a multiplicity greater than one.
c. What is the probability of finding the dice in the state where their total is 9 after being thrown?