An animal shelter finds homes for dogs and cats. Which fact establishes that the observation "an animal is a cat" is independent from the observation "an animal is adopted"?

Question

An animal shelter finds homes for dogs and cats. Which fact establishes that the observation "an animal is a cat" is independent from the observation "an animal is adopted"?

A As many cats as dogs are adopted.

B The fraction of cats that are adopted is equal to the fraction of dogs that are not adopted.

C Cats constitute the same fraction of animals adopted as not adopted.

D As many cats are adopted as are not adopted.

Answer 1

P = animal is cat

Q = animal is adopted

if the animal is adopted , it is not necessarily a cat...

if the animal is cat, it is not necessarily adopted