Final answer:
Roderigo is convinced to stay in Cyprus by Iago, who manipulates him into believing he still has a chance with Desdemona after Cassio's downfall.
Step-by-step explanation:
The student is asking about how Roderigo is convinced to stay in Cyprus instead of returning to Venice in Shakespeare's play 'Othello.' The correct answer is: Iago convinces him to stay by saying that he still has a chance to get Desdemona now that Cassio is out of the picture. This is characteristic of Iago's manipulative nature, as he plays on Roderigo's emotions and ambitions to control his actions.