Using and Writing methods in Java with dice roll example

You are to write a complete Java program named Lab04.java. Your program will simulate rolling 2 six-sided dice, and keep track of how many times each possible roll (2, 3, . . . , 12) occurs.

First roll the dice 100 times and calculate the fraction of each of the value (2, 3, . . . , 12). In other words, calculate the number of occurrences of each value divided by 100. Compare these fractions with the probabilistic values for each number;

# fraction prob value

2 1/36 0.0278

3 2/36 0.0556

4 3/36 0.0833

5 4/36 0.1111

6 5/36 0.1389

7 6/36 0.1667

8 5/36 0.1389

9 4/36 0.1111

10 3/36 0.0833

11 2/36 0.0556

12 1/36 0.0278

Write a static void method called rollDice that has two parameters, and int and a Random. The int parameter determines how many times to roll the dice and the Random is used to generate the actual values. Note that we could make the Random variable local to the method, but that would create a new object with each call, which is not necessary. Think carefully about which method in Random to call and how to appropriately generate the actual roll values. For example, consider why simply generating a single random number between 2 and 12 would NOT be correct. In the method, do the rolls and count how many times each number comes up. Then print out the number of times each number comes up and its fraction out of all the rolls. In the main program, create the Random object, then enter a conditional loop. At each iteration of the loop, ask the user to enter the number of rolls desired and call the rollDice() method with the appropriate parameters. Then as the user if he/she wants to continue. If so, repeat the process; if not terminate the program. The idea is that each iteration of the main program loop calls the rollDice() method and performs one experiment, showing the empirical probabilities of the rolls which you can compare to the theoretical probabilities