Random int function behavior in Java

I have the following piece of code:

public class Main {
private static final Random rnd = new Random();

private static int getRand(int n) {
    return (Math.abs(rnd.nextInt())%n);
}

public static void main(String[] args) {
    int count=0, n = 2 * (Integer.MAX_VALUE/3);
    for(int i=0; i<1000000; i++) {
        if(getRand(n) < n/2) {
            count++;
        }
    }
    System.out.print(count);
}
}

This always gives me a number closer to 666,666. Meaning two-thirds of the numbers generated are below the lower half of n. Not that this is obtained when n = 2/3 * Integer.MAX_VALUE. 4/7 is another fraction that gives me a similar spread (~5714285). However, I get an even spread if n = Integer.MAX_VALUE or if n = Integer.MAX_VALUE/2. How does this behavior differ with the fraction used. Can somebody throw some light on it.

PS: I got this problem from the book Effective Java by Joshua Bloch.