The plus (+) indicates a more advanced problem and the asterisk (*) indicates that a solut...

The plus (+) indicates a more advanced problem and the asterisk (*) indicates that a solution is available on the Companion Website for the text.

+ Find the state machine diagram in the form of Figure for a Game of PIG using two dice. Also, add the following rule: If a pair of 1s is rolled, then the player’s total score becomes 0. The two dice create an interesting problem: How do you make sure that the values rolled on the two dice are not correlated with each other? The current scheme of having the die roll for the interval of time between the pushing and release will cause the values on the two dice to advance the same amount so that the values will be correlated from turn to turn. This will give only six of the 36 possible pairs of rolls of the two dice! You will need to devise a scheme to insure that all of the pairs are equally likely. Include a well-justified scheme in your solution.

Figure State Machine Diagram for PIG