Which of the following statements about the plot of Shakespeare’s “Hamlet” is not true ?

Which of the following statements about the plot of Shakespeare’s “Hamlet” is not true ?

A. Hamlet is deeply disturbed by his father’s death.
B. It is never proven within the play that Claudius murdered King Hamlet.
C. Hamlet doubts the proper course of action to take.
D. Ophelia dies by drowning.