Pets In its monthly report, the local animal shelter statesthat it currently has 24 dogs and 18 cats available foradoption. Eight of the dogs and 6 of the cats are male.Find each of the following conditional probabilities if ananimal is selected at random:a) The pet is male, given that it is a cat.b) The pet is a cat, given that it is female.c) The pet is female, given that it is a dog.

There are six movies and three books that Caleb wants to watch or read over his summer vacation. a. How many ways can Caleb choose 3 movies and 2 books from his list?    b. Caleb randomly orders his chosen books and movies to read/watch each from start to finish, one at a time. What is the probability that he chooses an order that starts and ends with a movie?  what is question b

Kevin is hiring two interns, and all applicants are either enrolled at Reading College (R) or Beekman College (B). He randomly picks two interns from the entire set of applicants. The tree diagram below shows the probabilities of the different outcomes. Based on the diagram, what is the probability of hiring two interns from Reading College? Provide the final answer as a fraction.

A monkey is to demonstrate that she recognizes colorsby tossing one red, one black, one white ball, one orange ball, and one purple ball into boxes ofthe same repsective colors, one ball to a box. If the monkey hasnot learned the colors and merely tosses one ball into each boxat random, find the probabilities of the following results:a. There are no color matches.b. There is exactly one color match.