TestLawOfLargeNumbers.java

 @Test
    public void testLLN() {
        final Random random = new Random();
        for (int j = 4; j >= 2; j--) {
            int tries = Integer.MAX_VALUE / (int) (Math.pow(10.0, j));
            int equalsEight = 0;
            Integer x;
            for (int i = 0; i < tries; i++) {
                x = random.nextInt(6);
                if (x == 5) {
                    equalsEight++;
                }
            }
            double actualMean = (double) equalsEight / tries;
            double theoricalMean = 1.0 / 6.0;
            double deviation = 100 * (1 - actualMean / theoricalMean);

            System.out.println("**** Test with Integer.MAX_VALUE / 10^" + j);
            System.out.println("   Actual Mean: " + actualMean);
            System.out.println("Theorical Mean: " + theoricalMean);
            System.out.println("Deviation: " + Double.toString(deviation).substring(0, 8) + "%");

        }