Conditional Probability Answers

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

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)

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)

Aditi downloads ten paid apps and sixteen free apps on her tablet. Fourteen of them are game apps, and she paid for five of the game apps.

Aditi downloads ten paid apps and sixteen free apps on her tablet. Fourteen of them are game apps, and she paid for five of the game apps.

5/10✔ 5/145/26

independent✔ not independent

What statements are correct? Check all that apply.The conditional probability formula is P(X │ Y) = StartFraction P (X intersection Y) Over P (Y) EndFraction .The conditional probabilities P(D │ N) and P(N │ D) are equal for any events D and N.The notation P(R │ S) indicates the probability of event R, given that event S has already occurred.Conditional probability applies only to independent events.Conditional probabilities can be calculated using a Venn diagram.