Answer: Your question is incomplete
But if the attached image is the complete question “whose sample is the most random”, then your answer is:
Luis’ sample.
Explanation:
A random sample is one where each member is selected at random.
It is the kind of sampling where each member has an equal chance of being selected.
Samantha and Luis are trying to determine the number of library books that seventh graders check out. Their focus is;
1.) Seventh graders and
2.) Library books
Samantha surveys seventh graders leaving the library while Luis surveys seventh graders at random in the school cafeteria.
Samantha’s survey is more focused because each member of her sample was leaving the library meaning that they had handled books.
But Luis’ sample is more random because he takes his survey from all seventh graders (seventh graders in the cafeteria). With his random sampling, there is a high probability that each member never handled library books.