Final answer:
The theme that careful planning leads to success in 'The Odyssey, Book IX' is exemplified by Odysseus's strategic observation of the Cyclops and his calm, calculated demeanor, which enable him and his men to successfully escape.
Step-by-step explanation:
The theme that careful planning leads to success is developed in The Odyssey, particularly in Book IX, through the actions of the protagonist, Odysseus. When encountering the Cyclops, Odysseus's ability to observe and devise a plan for escape is crucial. He carefully watches the Cyclops and formulates a strategic plan rather than acting rashly, ensuring he and his men can safely depart from the danger and continue their journey. Furthermore, Odysseus's calm demeanor in the presence of the Cyclops, exemplified when he does not panic as the Cyclops speaks to the ram, illustrates his tactical thinking and patience, essential components of his successful planning.