At a garage, the probability that a vehicle needed both new brakes and new tires was 0.18, new tires was 0.45, and new brakes was 0.30. Find the probability of new brakes given new tires, to three decimals.

At a farmers market, the probability that a purchase was both organic and apples was 0.21, apples was 0.35, and organic was 0.28. Find the probability of organic given apples, to three decimals.

For a library, the probability that a loan was both an e-book and a mystery was 0.16, mystery was 0.40, and e-book was 0.25. Find the probability of e-book given mystery, to three decimals.

At a clinic, the probability that a patient was both a child and got a flu shot was 0.12, child was 0.20, and flu shot was 0.50. Find the probability of a flu shot given child, to three decimals.

On a factory line, the probability that an item was both late and from Line A was 0.09, from Line A was 0.30, and late was 0.15. Find the probability of late given Line A, to three decimals.

For athletes at a school, the probability that a student was both varsity and in a spring sport was 0.24, in a spring sport was 0.40, and varsity was 0.36. Find varsity given spring sport, to three decimals.

At a cafe, the probability that an order was both tea and afternoon was 0.14, afternoon was 0.35, and tea was 0.20. Find the probability of tea given afternoon, to three decimals.

In a school survey, the probability that a student both took art and was in grade 11 was 0.15, grade 11 was 0.25, and took art was 0.30. Find took art given grade 11, to three decimals.

At an airport, the probability that a passenger both checked a bag and flew internationally was 0.22, flew internationally was 0.44, and checked a bag was 0.55. Find checked a bag given international flight, to three decimals.

For an app, the probability that a user both used dark mode and used a tablet was 0.18, used a tablet was 0.30, and used dark mode was 0.45. Find dark mode given tablet use, to three decimals.

At a bank, the probability that an account both used mobile deposit and was a business account was 0.08, was a business account was 0.20, and used mobile deposit was 0.32. Find mobile deposit given business account, to three decimals.

At a museum, the probability that a ticket was both a student ticket and a weekend ticket was 0.27, weekend ticket was 0.45, and student ticket was 0.36. Find student ticket given weekend ticket, to three decimals.

A robotics club has 48 members. Of the 20 students on the programming team, 12 also compete in tournaments, and 10 of the remaining members compete. Find the probability that a member competes given programming team, as a lowest-terms fraction.

A shelter tracked 50 adopted pets. Of the 18 kittens, 15 were adopted within a week, and 16 of the other pets were adopted within a week. Find the probability adopted within a week given kitten, as a lowest-terms fraction.

A cafeteria recorded 80 lunch orders. Of the 32 vegetarian orders, 20 included fruit, and 18 nonvegetarian orders included fruit. Find the probability that an order included fruit given vegetarian order, as a lowest-terms fraction.

In a community race of 72 runners, 30 runners were under age 18. Of those, 18 finished under 30 minutes, while 21 older runners finished under 30 minutes. Find under 30 minutes given under age 18, as a lowest-terms fraction.

A zoo surveyed 90 visitors. Of the 45 visitors with annual passes, 27 bought snacks, and 12 visitors without annual passes bought snacks. Find the probability bought snacks given annual pass, as a lowest-terms fraction.

On a bus, 64 riders were counted. Of the 24 riders carrying backpacks, 18 bought student fares, and 20 other riders bought student fares. Find the probability of student fare given backpack, as a lowest-terms fraction.

A garden club has 54 plots. Of the 18 shaded plots, 6 grew herbs, and 15 sunny plots grew herbs. Find the probability that a plot grew herbs given shaded plot, as a lowest-terms fraction.

At a music festival, 100 tickets were checked. Of the 40 student tickets, 28 were bought online, and 30 nonstudent tickets were bought online. Find online purchase given student ticket, as a lowest-terms fraction.

A recycling drive surveyed 75 households. Of the 25 apartment households, 10 recycled glass, and 18 other households recycled glass. Find the probability recycled glass given apartment household, as a lowest-terms fraction.

A swim team has 36 swimmers. Of the 15 distance swimmers, 9 qualified for finals, and 12 other swimmers qualified for finals. Find the probability qualified for finals given distance swimmer, as a lowest-terms fraction.

A school attendance report says 72% of students who rode the bus arrived before 8:00. Use E for arrived before 8:00 and B for rode the bus. Write the report in probability notation.

A store report says 40% of customers who used a coupon bought soup. Use C for used a coupon and S for bought soup. Write the report in probability notation.

An athletics report says 55% of students who played soccer also ran track. Use S for played soccer and T for ran track. Write the report in probability notation.

A pet survey says 18% of surveyed families both own a dog and own a cat. Use D for owns a dog and C for owns a cat. Write the report in probability notation.

A membership report says 82% of members who received an email renewed. Use E for received an email and R for renewed. Write the report in probability notation.

A grocery survey says 33% of shoppers either bought bread or bought milk. Use B for bought bread and M for bought milk. Write the report in probability notation.

A clinic report says 46% of patients with an appointment checked in online. Use A for had an appointment and O for checked in online. Write the report in probability notation.

A science report says 64% of students who passed the lab had attended the review session. Use L for passed the lab and R for attended review. Write the report in probability notation.

At an online help desk, 30% of all chats are solved in under 5 minutes. Of 200 chats from mobile users, 60 were solved in under 5 minutes. Are quick solution and mobile use independent?

At a factory, 8% of all bottles fail inspection. Of 500 bottles from Line 2, 50 failed inspection. Are failing inspection and being from Line 2 independent?

A library says 25% of all loans are e-books. Of 120 loans by seniors, 30 were e-books. Are e-book loan and senior borrower independent?

At a clinic, 40% of all appointments are checkups. Of 150 telehealth appointments, 72 were checkups. Are checkup appointment and telehealth appointment independent?

A park survey finds 60% of all visitors used the trail. Of 90 visitors who arrived by bike, 54 used the trail. Are trail use and arriving by bike independent?

In a school app, 35% of all messages get a reply within one day. Of 80 messages sent after 6 p.m., 20 got a reply within one day. Are quick reply and sent after 6 p.m. independent?

At a bakery, 50% of all pastry orders include coffee. Of 70 online pastry orders, 35 include coffee. Are coffee inclusion and online ordering independent?

A transit agency reports 15% of all buses arrive late. Of 300 buses on Route 4, 60 arrived late. Are arriving late and being on Route 4 independent?

At a campus gym, 45% of all visitors use treadmills. Of 160 morning visitors, 72 use treadmills. Are treadmill use and morning visit independent?

A scholarship survey finds 20% of all applicants study engineering. Of 90 applicants from the city, 27 study engineering. Are studying engineering and being from the city independent?