Conditional Probability Answers

What statements are correct? Check all that apply.The conditional probability formula is P(X │ Y) = .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.

Given that a randomly chosen student participates in band, what is the probability that the student also participates in track?

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A dentist polls his patients and finds that 83 percent brush their teeth at least twice a day, 47 percent floss daily, and 19 percent brush at least twice a day and floss daily. What is the probability that a patient flosses daily, given that he or she brushes at least twice a day? Round to the nearest percent.

A box contains four red balls and eight black balls. Two balls are randomly chosen from the box, and are not replaced. Let event B be choosing a black ball first and event R be choosing a red ball second. What are the following probabilities? P(B) = P(R | B) = P(B ∩ R) = The probability that the first ball chosen is black and the second ball chosen is red is about percent.

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At a hospital, 56 percent of the babies born are not girls. Of the baby girls born, 12 percent are premature. What is the probability of a premature baby girl being born at this hospital? Round to the nearest percent.

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Which conditional probabilities are correct? Check all that apply.