java.util.Collections.shuffle(List);

javadoc链接
Collections.shuffle

List<Integer> list = new ArrayList<Integer>();
list.add(1);
list.add(2);
list.add(3);
java.util.Collections.shuffle(list);

值得注意的是，您可以使用很多算法。这是在Sun JDK中实现的方法：

public static void shuffle(List<?> list, Random rnd) {
    int size = list.size();
    if (size < SHUFFLE_THRESHOLD || list instanceof RandomAccess) {
        for (int i=size; i>1; i--)
            swap(list, i-1, rnd.nextInt(i));
    } else {
        Object arr[] = list.toArray();

        // Shuffle array
        for (int i=size; i>1; i--)
            swap(arr, i-1, rnd.nextInt(i));

        // Dump array back into list
        ListIterator it = list.listIterator();
        for (int i=0; i<arr.length; i++) {
            it.next();
            it.set(arr[i]);
        }
    }
}