Maria and John have decided that once they live in a home, they want to have a pet. Maria prefers cats and John prefers dogs. They go to an animal shelter and find several pets that they would love to take home. There are 8 Siamese cats, 12 common cats, 6 German Shepherds, 5 Labrador Retrievers, and 11 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. What is the probability that they select a cat?  What are the odds that they select a cat?  What is the probability that they select either a common cat or a Labrador Retriever dog?  What is the probability that if they select a dog, that it is not a mixed breed?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 3EQ: A florist offers three sizes of flower arrangements containing roses, daisies, and chrysanthemums....
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Maria and John have decided that once they live in a home, they want to have a pet. Maria prefers cats and John prefers dogs. They go to an animal shelter and find several pets that they would love to take home. There are 8 Siamese cats, 12 common cats, 6 German Shepherds, 5 Labrador Retrievers, and 11 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.

  1. What is the probability that they select a cat? 
  2. What are the odds that they select a cat? 
  3. What is the probability that they select either a common cat or a Labrador Retriever dog? 
  4. What is the probability that if they select a dog, that it is not a mixed breed?
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