Conditional Probability

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?

NOT 61% Correct 28%

A study found that 23% of the cars manufactured last year were SUVs, 13% of the cars manufactured were white, and 2% of the cars manufactured were white SUVs. To the nearest whole percent, what is the probability that a car is an SUV, given that it is white?

NOT 9%

In the drawing, six out of every 10 tickets are winning tickets. Of the winning tickets, one out of every three awards is a larger prize. What is the probability that a ticket that is randomly chosen will award a larger prize?

NOT c 5/9 Correct 1/5

Use the Venn diagram to calculate probabilities. Which probability is correct?

NOT c P(A|B)=2/7

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?

NOT c. 50% Correct 13%

If events A and B are independent, and the probability that event A occurs is 83%, what must be true?

NOT d The probability that event B occurs, given that event A occurs, is 83%. Correct c d reverse

A survey of the 12th grade students at Gaffigan High School found that 84% of the seniors have their driver's licenses, 16% of seniors take the bus every day to school, and 14% of the seniors have driver's licenses and take the bus to school every day. To the nearest whole percent, what is the probability that a senior takes the bus to school every day, given that he or she has a driver's license?

a 17%

Twenty-five bakery customers were surveyed to determine if they like cake or pie. The results are shown in the Venn diagram. Given that a randomly chosen customer likes cake, what is the probability that the customer also likes pie?

a 2/7

Use the Venn diagram to calculate probabilities. Which probability is correct? P(A) =

a 3/5

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?

a 7%

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.

b 0.13

A study found that 23% of the cars manufactured last year were SUVs, 13% of the cars manufactured were white, and 2% of the cars manufactured were white SUVs. To the nearest whole percent, what is the probability that a car is an SUV, given that it is white?

b 15%

A hat contains slips of paper with the names of the 26 other students in Eduardo's class on them, 10 of whom are boys. To determine his partners for the group project, Eduardo has to pull two names out of the hat without replacing them. What is the probability that both of Eduardo's partners for the group project will be girls?

b 24/65

If events A and B are independent, what must be true?

b. P(A|B)=P(A)

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?

c

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?

c 0.21

Hiro has a stack of cards with one number from the set 1, 1, 2, 2, 3, 3, 3, 4 written on each card. What is the probability that he pulls out a 3 first and then pulls out a 2 without replacing them?

d 3/28

Use the Venn diagram to calculate probabilities. Which probability is correct?

d P(C|A)=13/17