Newton-Pepys Problem: Which of the following three propositions has the greatest chance of success? A. 6 fair dice are tossed independently and at least one 6 appears B. 12 fair dice are tossed independently and at least two 6s appear. C. 18 fair dice are tossed independently and at least three 6s appear.

Design and write a project in BlueJ (java language) to do a simulation of 100,000 trials of each of the three options and then conclude which has the highest probability.

The project should have three classes 1) Dice 2) MultipleDice with at least one constructor that passes the number of dice to be contained. 3) Simulation should have a Static method called simulatePepysNewton(). This method should print to the screen the probability of each proposition (A, B, C) and which has the greatest chance. You can create whatever other methods/constructors you see fit. Remember to include comments for all methods and instance variables. Other than final variables (if any), all other instance variables should be private.