Question

A vet treats dogs (D), cats (C), birds (B), hamsters (H), and reptiles (R). A veterinary assistant randomly selects a patient’s file.

What is the sample space for this experiment?
Responses

S={D, B, H}
S equals left curly bracket D comma B comma H right curly bracket

S={D, C, B, H, R}
S equals left curly bracket D comma C comma B comma H comma R right curly bracket

S={C, B, H, R}
S equals C comma B comma H comma R right curly bracket

S={D}

Answer 1

The sample space for the experiment of randomly selecting a patient's file from the given animals is:

S={D, C, B, H, R}

The sample space includes all the possible outcomes of the experiment, which in this case are the animal types that can be selected by the veterinary assistant. Since the assistant can randomly select a file for any of the five types of animals, the sample space consists of all the possible animal types, which are D (dogs), C (cats), B (birds), H (hamsters), and R (reptiles).

Explanation: