Double Entry Tables

“A survey was conducted on students' preferred mode of transportation to school. 60 students prefer the bus, 30 prefer biking, and 10 use both. Create a two-way table to represent this data, with "Prefers Bus" and "Prefers Biking" as categories. Include totals for each row and column. Then, calculate the probability that a randomly selected student prefers biking, given that they also prefer the bus. A local library tracks the types of books borrowed by patrons. 45 patrons borrowed fiction books, 25 borrowed non-fiction books, and 5 borrowed both. Construct a two-way table to represent this data. Include totals for each row and column. Then, calculate the probability that a randomly selected patron borrowed a fiction book, given that they did not borrow a non-fiction book. A gym records the types of exercises performed by its members. 55 members use cardio equipment, 35 lift weights, and 15 do both. Create a two-way table to organize this information. Include totals for each row and column. Then, calculate the probability that a randomly selected member lifts weights, given that they do not use cardio equipment.”