Finish the simulation program of the “Monty Hall paradox” that was discussed in class. Your program should ask the user if she wants to “always switch” or “never switch” and then silently simulate the game 10,000 times given this decision. Don’t repeatedly ask the user for her decision on each trial! Don’t print out any debugging text! Print out only the overall fraction of times the player wins the fabulous grand prize.

Completing the simulation:

*Add game methods for

• Monte choosing a door to open
• The player switching or not
• Deciding if the player has won

*Add PlaymanyGames code to

• Call the new game methods
• Put everything in a loop
• Prompt the user for # of trials, switching policy
• Display the results

There are three classes already made:

• Door.java
• Game.java
• PlaymanyGames.java

Here is the code for Door.java:

1 package monte;

2 public class Door {

3 protected boolean open;

4 protected boolean hasGrandPrize;

5 protected boolean chosenByContestant;

6 // for debugging

7 public String toString() {

8 return (open ? “is open, ” : “is not open, “) +

9 (hasGrandPrize ? “is the grand prize, and “

10 : “is not the grand prize, and “) +

11 (chosenByContestant ? “is chosen.” : “is not chosen.”);

12

13 }

14 }

*****************************************************************

Here is the code for Game.java:

1 package monte;

2 import java.util.*;

3 public class Game {

4 static Random r = new Random();

5

6 private Door door1, door2, door3;

7 /**

8 * Call this first

9 */

10 public void setUpGame() {

11 door1 = new Door();

12 door2 = new Door();

13 door3 = new Door();

14 // Java initialized all of the

15 // Door variables to false on construction.

16 int grandPrizeDoor = r.nextInt(3);

17 switch(grandPrizeDoor) {

18 case 0:

19 door1.hasGrandPrize = true;

20 break;

21 case 1:

22 door2.hasGrandPrize = true;

23 break;

24 case 2:

25 door3.hasGrandPrize = true;

26 break;

27 }

28 }

29

30 /**

31 * Sanity check output

32 */

33 public void printStateOfDoors() {

34 System.out.println(“Door 1 ” + door1.toString());

35 System.out.println(“Door 2 ” + door2.toString());

36 System.out.println(“Door 3 ” + door3.toString());

37 }

38 /**

39 * randomly make first choice for contenstant.

40 */

41 public void contestantChooseDoor() {

42 int contestantDoor = r.nextInt(3);

43 switch(contestantDoor) {

44 case 0: door1.chosenByContestant = true;

45 break;

46 case 1: door2.chosenByContestant = true;

47 break;

48 case 2: door3.chosenByContestant = true;

49 break;

50 }

51 }

52

53 }

54

*****************************************************************

Here is the code for PlaymanyGames.java:

1 import monte.Game;

2

3

4 public class PlayManyGames {

5 /**

6 * This program takes no arguments.

7 * Currently this program plays zero games.

8 */

9 public static void main(String[] args) {

10 Game theGame = new Game();

11 theGame.setUpGame();

12 theGame.printStateOfDoors();

13 theGame.contestantChooseDoor();

14 theGame.printStateOfDoors();

15 }

16 }

*****************************************************************

Here is an image of what the code prints when I run PlaymanyGames.java

Could you please make additional changes to the code I already have? Also, please leave comments so I can understand what’s happening. Also, the code for door.java does not have to change.