What are some ways the utilitarian theory might give the wrong result and make wrong actions right or right actions wrong?

To a
utilitarian, there could be no such examples.  Utilitarians say that the rightness or wrongness
of an action can be seen from its results.  Therefore, any action that increases the general
happiness is right, regardless of the motive for which it was taken.  With such a
consequentialist view of right and wrong, there can be no mistakes.

Presumably, then, we must look for an example of how something that was done for a bad reason
had a good result from a utilitarian point of view.  We can see this in...