Alejandro wants to adopt a puppy from an animal shelter. At the shelter, he finds six puppies that he likes: a male and female puppy from each of the three breeds of boxer, collie, and Labrador. The puppies are each so cute that Alejandro cannot make up his mind, so he decides to pick the dog randomly. Find the probability that Alejandro chooses anything except a female Labrador or a male collie. The probability is \( \square \). (Type an integer or a simplified fraction.)
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To find the probability that Alejandro chooses anything except a female Labrador or a male collie, we start by calculating the total number of puppies. There are 6 puppies in total: 2 boxers (1 male and 1 female), 2 collies (1 male and 1 female), and 2 Labradors (1 male and 1 female). The two puppies we want to exclude from Alejandro's choices are: 1. Female Labrador 2. Male Collie This leaves us with the following puppies to choose from: - Male Boxer - Female Boxer - Female Collie - Male Labrador So, there are 4 puppies that are not excluded. Now, the total number of puppies is 6. Therefore, the probability that Alejandro chooses anything except a female Labrador or a male collie is calculated as: \[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} = \frac{4}{6} = \frac{2}{3} \] Thus, the probability is \( \frac{2}{3} \).
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