Conditional Probability

Conditional Probability Question and Answer 2023. Seventy-five percent of the flowers in the arrangement are roses and the rest are tulips. Of the tulips, 50 percent are pink. To the nearest whole percent, what is the probability that a randomly chosen flower from the arrangement is a pink tulip? Correct Answer: 13% Nadia's bookshelf contains 10 fiction books, two reference books, and five nonfiction books. What is the probability that she randomly picks up a reference book and then, without replacing it, picks up a nonfiction book? Correct Answer: 5/136 Twenty-two percent of the large pieces of mail that Rachel received this week were magazines and the rest were catalogs. Of the catalogs, 36 percent were for clothing. To the nearest whole percent, what is the probability that a randomly chosen large piece of Rachel's mail was a clothing catalog? Correct Answer: 28% A bag contains one red pen, four black pens, and three blue pens. Two pens are randomly chosen from the bag and are not replaced. To the nearest hundredth, what is the probability that a black pen is chosen first and then another black pen is chosen? Correct Answer: 0.21 Lola pulls two marbles from a bag containing four red marbles, four blue marbles, and 12 yellow marbles without replacing them. What is the probability that she pulled out a red marble first and a yellow marble second? Express your answer in decimal form, rounded to the nearest hundredth. Correct Answer: 0.13 Lori downloaded all the pictures she took at Rita's wedding into a single computer folder. She took 86 of the 134 pictures with her camera and the remainder of them with her cell phone. Of the pictures Lori took with her cell phone, one out of every five was blurry. To the nearest whole percent, what is the probability that when she opens a random picture from the computer folder, it will be a blurry picture she took with her cell phone? Correct Answer: 7% What statements are correct? Check all that apply. Correct Answer: *The conditional probability formula is P(X │ Y) = P (X U Y) / P (Y) *The notation P(R │ S) indicates the probability of event R, given that event S has already occurred. *Conditional probabilities can be calculated using a Venn diagram. At Mountain High School, the students were surveyed about their participation in band (B) and track (T). The results of the survey are shown in the Venn diagram. Given that a randomly chosen student participates in band, what is the probability that the student also participates in track? Correct Answer: 9/33 The 154 tenth-graders at Wilson High School were polled on whether they enjoyed their algebra or geometry course more. The results are shown below. Algebra: 34 female, 33 male Geometry: 40 female, 47 male Correct Answer: *80/154