Final answer:
Belief in destiny would influence Hamlet's behavior by either driving decisive action, believing it to be fated, or causing hesitation, out of fear that his actions might be predetermined and therefore perhaps unalterable.
Step-by-step explanation:
Hamlet's belief in destiny significantly informs his behavior throughout the play. If Hamlet believes that events are predestined, this conviction might impact his decision-making and actions, potentially leading to a sense of fatalism or resignation.
This belief could either cause him to act with the assurance that he is fulfilling a predetermined role, or conversely, it might paralyze him, knowing that his efforts may be futile against the course of fate. In the context of the play, Hamlet's hesitation and philosophical musings can be linked to his complex understanding of destiny, morality, and the consequences of his actions.
Hamlet's preoccupation with destiny could also amplify his inaction—while he contemplates the right course of action, he is also struggling with the idea that the outcome of his story may already be written. Hamlet's caution could further be understood as a means of avoiding mistakes that can't be undone if they're indeed part of a destined path.