Maria and John have decided that once they live in a house,
Maria and John have decided that once they live in a house, they want
to have a pet. They go to an animal shelter and find several pets that they would love to take home. There are 30 cats, 4 German Shepherds, 10 Labrador Retrievers, and 22 mixed-breed dogs. Since they can’t decide, they place all the adoption cards in a container and draw one.
Answer each of the following questions separately, showing all your work to reach each answer.
A. What is the probability that they select a cat?
B. What is the probability that they select either a German Shepherd or a Labrador Retriever?
C. What is the probability that if they select a dog, that it is not a mixed breed?
D. If they decide to purposely choose 2 of the 36 available dogs rather than randomly choosing any 2, how many combinations of 2 dogs are possible?