Think about different characters and how their "character" or personality affects their fate.
For example, Polonius is a sneak and a gossip. It is fitting that he meets his end hiding behind a curtain.
Gertrude and Claudius have a conspiratorial character. They die by their own plans gone awry.
Hamlet is extremely intelligent, but he takes too long to make a decision. Part of his character is thoughtful weighing of consequences, and also a need to "be sure" of things. This is the reason he sets up the "Moustrap" play and also why he doesn't kill Claudius when he has a chance. This character trait will not serve him well in a situation that calls for swift action.