3. 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 3 Siamese cats, 3 German Shepherds, 9 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. What are the odds in favor of and against choosing a Siamese cat?

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.