A family wants to adopt pets from the local animal rescue. They have prepared a final list of five, all of whom are healthy. Of the five animals, one is a cat and four are dogs. The family decides to select two animals randomly from these five possibilities. a.) Draw a tree diagram to show all possible outcomes of this selection process. Label the probability associated with each stage of the selection on the appropriate branch. Make a table with the outcomes and the probability of each outcome. b.) Find the following probabilities:  -What is the probability that the outcome will result in the same type of animal being rescued? -What is the probability that at least one dog will be rescued? -What is the probability that one cat and one dog will be rescued?

Question

A family wants to adopt pets from the local animal rescue. They have prepared a final list of five, all of whom are healthy. Of the five animals, one is a cat and four are dogs. The family decides to select two animals randomly from these five possibilities.

a.) Draw a tree diagram to show all possible outcomes of this selection process. Label the probability associated with each stage of the selection on the appropriate branch. Make a table with the outcomes and the probability of each outcome.

b.) Find the following probabilities: 

-What is the probability that the outcome will result in the same type of animal being rescued?

-What is the probability that at least one dog will be rescued?

-What is the probability that one cat and one dog will be rescued?

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