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?

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Asked Dec 15, 2019
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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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Expert Answer

Step 1

Step 2

Obtain the probability that they can select a cat.

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20C P(1 cat) = 42C, 20 42 10 21

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Step 3
  1. Obtain the odds that they can selec...
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P(1 cat) odds P(not 1 cat) 10 21 10 1- 21 10 11

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Advanced Math