Which ancient Greek tragedy, written by Sophocles, tells the story of a man doomed to his fate?

The correct choice is Oedipus Rex, which is a quintessential example of Greek tragedy that explores the themes of fate and destiny. In this play, Oedipus, the protagonist, is a character who attempts to escape a prophecy that foretells he will kill his father and marry his mother. Despite his efforts to avoid this fate, the story unfolds in such a way that he unwittingly fulfills the prophecy. This leads to a powerful exploration of the concept of fate versus free will, as well as the tragic consequences of human hubris.

Oedipus Rex is widely regarded as one of the greatest tragedies in Western literature, exemplifying the structure and themes typical of Sophoclean drama, including the inevitability of fate and the tragic flaws of its characters. The sense of doom that surrounds Oedipus is central to the narrative, making this play a profound study of human suffering in the face of an inescapable destiny.