Final answer:
The question cannot be answered accurately due to insufficient information about the book and the character in question.
Step-by-step explanation:
There seems to be some confusion in the question as it references multiple characters named Luke and Lucas from different contexts, and the book title "The Mu_rder Game" does not provide enough information to identify a specific work or the hobbies and extracurricular activities of a character named Luke within it.
Without further information, like the author's name or more details about the book, it is not possible to give a specific answer to the student's question about Luke's activities in "The Mu_rder Game". Thus, I must refrain from providing an answer to this question.