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Notes: Classical Probability & Venn Diagrams Example: The Venn diagram illustrates the probability that a family has a cat or dog or both. What is the probability of having both a Cat and a Dog? Cat 12%) Dog 18% 27 What is the probability of having a Cat? What is the probability of having a dog? What is the Probability of not having a Cat? What is the Probability of not having a Dog? What is the Probability of not having both a Cat and a Dog? What is the Probability of having neither a cat nor a dog? Are having a dog or cat independent events? Justify your answer. What is the probability of having a cat or a dog? Use the formula: What is the probability of having only a dog? What would probability of only a dog need to be for cat and dog to be independent events? Complete the Contingency table for the above situation. Given someone has a cat, what is the probability that they have a dog? Dog No Dog Total Cat No Cat Given that a person has a dog, what is the probability that they have a cat? Total