Conditional Probability Answers

A veterinarian surveys her clients and finds that 32 percent of the households have dogs, 25 percent have cats, and 11 percent have both dogs and cats. Let event C be choosing a client who has cats and let event D be choosing a client who has dogs. Which statements are true? Check all that apply.P(C | D) = 0.78P(D | C) = 0.44P(C ∩ D) = 0.11P(C ∩ D) = P(D ∩ C)P(C | D) = P(D | C)

P(paid | game) =

The events “paid” and “game” are .

P(paid) =

The science club has five female and five male students. The club will randomly select two people to compete in the upcoming science competition.What is the probability that both people chosen are females?

If events X and Y are independent, what must be true? Check all that apply.P(Y | X) = 0P(X | Y) = 0P(Y | X) = P(Y)P(Y | X) = P(X)P(X | Y) = P(Y)P(X | Y) = P(X)

A book is chosen randomly. Complete the steps to find the probability that the book is nonfiction given that it is hard-covered.

A book is chosen randomly. Complete the steps to find the probability that the book is nonfiction given that it is hard-covered.

A book is chosen randomly. Complete the steps to find the probability that the book is nonfiction given that it is hard-covered.