Fate plays a rather important role in the play, Hamlet, by William Shakespeare. It relates to the death of many characters, as well as their intentions, and the actions that follow. Although the individual characters" actions could be justified in such a way as to imply that they are completely random, the likelihood is slim. There is enough evidence in Hamlet, regarding fate, that the audience should have no trouble in identifying and examining it.
The protagonist of the play, Hamlet, suffers the fate of death by poison. He enters a fencing match with Laertes, and Laertes poisons the tip of his sword. When Hamlet is cut by it, his end begins. On that very note, the cup that Claudius offers Hamlet, to drink from, is also poisoned. When Hamlet is successful in the match, his mother accidentally drinks from the cup.
The mother's death is the first real example of a character's fate that could be, otherwise, justified as random. Upon examination, however, it is clear that this is fate. It serves as the punishment that Claudius must witness before he dies. She was one person he did not want to poison, and yet she is the person first poisoned in the scene. In addition, it makes sense that the entire family would die of this poison, in one form or another.
Ophelia's unfortunate fate is also that of death. She commits suicide by throwing herself into the river, and drowning. Her madness stems from the death of her father, killed by Hamlet (accidentally, as fate would have it). What makes it so obvious about her death being fate is the fact that she drowns herself among the same flower garlands that she gathered, earlier.
Vengeance is one of the motives used by characters in the play to carry out their actions. When Hamlet kills Polonius, Laertes exacts revenge on him using the tip of the poisoned sword. Fortinbras wishes to gain Denmark in order to avenge his father's death. Most importantly, Hamlet intends to kill Claudius for the murder of his father, Hamlet.