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See a working version here

DistractorBox.java

import java.awt.Graphics;


public class DistractorBox extends TargetBox {
	public DistractorBox() {
		super((int) (Math.random() * 450), (int) (Math.random() * 450));
	}

	public void draw(Graphics g) {
		g.setColor(color);
		g.drawRect(r.x, r.y, r.width, r.height);
	}

}

TargetBoxTester.java

import java.applet.Applet;
import java.awt.Color;
import java.awt.Font;
import java.awt.Graphics;
import java.awt.event.MouseEvent;
import java.awt.event.MouseListener;
import java.awt.event.MouseMotionListener;
import java.util.ArrayList;

public class TargetBoxTester extends Applet implements MouseListener,MouseMotionListener
{
	private int score = 0;
	private String message = "Find The Filled Box!";
	private TargetBox box;
	private int counter = 100;
	private int clickCounter;
	private ArrayList<DistractorBox> distractors;

	public void init() {
		addMouseMotionListener(this);
		resize(500, 500);
		addMouseListener(this);
		box = new TargetBox(450, 450);
		makeDistractors();
	}

	public void makeDistractors() {
		distractors = new ArrayList<DistractorBox>();
		for (int i = 0; i < clickCounter*20; i++) {
			distractors.add(new DistractorBox());
		}
	}

	public void paint(Graphics g) {
		g.setFont(new Font("Helvetica", Font.BOLD, 18));
		g.drawString("clicks= " + clickCounter, 10, 500);
		box.draw(g);

		for (int i = 0; i < distractors.size(); i++) {
			distractors.get(i).draw(g);
		}
		g.drawString(message + " " + score, 100, 500);
	}

	public Color randColor() {
		int r = (int) (Math.random() * 255);
		int g = (int) (Math.random() * 255);
		int b = (int) (Math.random() * 255);

		return new Color(r, g, b);
	}
	public void mousePressed(MouseEvent e) {
	}

	public void mouseMoved(MouseEvent e) {
		int x = e.getX(); 
		int y = e.getY(); 
		box.contains(x, y) ;
		repaint();
	}

	public void mouseEntered(MouseEvent e) {
	}

	public void mouseExited(MouseEvent e) {
	}

	public void mouseReleased(MouseEvent e) {
	}

	public void mouseClicked(MouseEvent e) {
		if (box.contains(e.getX(), e.getY())) {
			message = " You Got It! ";
			score += 10;
			counter += 5;

		} else {
			message = "You couldn't find the box!";
			score -= 10;
		}
		box = new TargetBox(450, 450);
		makeDistractors();
		clickCounter++;
		repaint();
	}

	public void mouseDragged(MouseEvent e) {
	}

}

TargetBox.java

import java.awt.Color;
import java.awt.Graphics;
import java.awt.Rectangle;

public class TargetBox {
	protected int width, height, x, y;
	protected Color color;
	protected Rectangle r;
	protected boolean over;

	public TargetBox(int w, int h) {
		color = randColor();
		width = 30 + (int) (Math.random() * 10);
		height = 30 + (int) (Math.random() * 10);
		x = (int) (Math.random() * 400);
		y = (int) (Math.random() * 400);
		r = new Rectangle(x, y, width, height);
		over = false;
	}

	public boolean contains(int x, int y) {
		if (r.contains(x, y)) {
			over = true;
		} else {
			over = false;
		}
		return over;
	}

	public Color randColor() {
		int r = (int) (Math.random() * 255);
		int g = (int) (Math.random() * 255);
		int b = (int) (Math.random() * 255);

		return new Color(r, g, b);
	}

	public void draw(Graphics g) {
		g.setColor(color);
		if (over) {
			g.setColor(Color.WHITE);

		}
		g.drawRect(x, y, width, height);
		g.fillRect(x, y, width, height);
	}

}