Probability & Conditional Probability — Problem-Solving and Data Analysis

Questions in this quiz (10)

1. A high school surveyed $$360$$ students about their participation in after-school activities. The table summarizes whether each student participates in the school band, the drama club, both, or neither.Based on the data in the table, what is the probability that a student selected at random is a member of the drama club?

   • $$\frac{48}{120}$$
   • $$\frac{1}{3}$$
   • $$\frac{72}{180}$$
   • $$\frac{240}{360}$$

2. The table above shows the number of electronic devices sold, by type and store location, in a single day.Of the devices sold at Store C, what fraction were tablets?

   • $$\frac{1}{3}$$
   • $$\frac{2}{3}$$
   • $$\frac{2}{7}$$
   • $$\frac{4}{7}$$

3. Each vertex of a $$24$$-sided polygon is labeled with a different integer from $$1$$ to $$24$$, inclusive. If one vertex is selected at random, what is the probability that the number $$7$$ will be at the selected vertex?

   • $$\frac{1}{24}$$
   • $$\frac{1}{8}$$
   • $$\frac{1}{6}$$
   • $$\frac{1}{4}$$

4. The table summarizes the results of a survey of $$240$$ students at a high school about their favorite type of school club.One student will be selected at random from those surveyed. What is the probability that the student selected is in $$10$$th grade, given that the student's favorite club is not Art Club?

   • $$\frac{7}{17}$$
   • $$\frac{1}{3}$$
   • $$\frac{1}{4}$$
   • $$\frac{5}{17}$$

5. An animal shelter surveyed pet owners in a community about the type and source of their pets. The table shows the results of the survey.If one of the pet owners who acquired their pet from a breeder or store is chosen at random, the probability that the pet is a cat is $$\frac{1}{4}$$. What is the value of $$x$$?

   • $$\frac{2}{3}$$
   • $$\frac{70}{3}$$
   • $$\frac{110}{3}$$
   • $$\frac{25}{3}$$

6. A community bookstore has $$6$$ shelves of mystery books and $$9$$ shelves of history books. Each shelf of mystery books contains $$8$$ hardcover books and $$14$$ paperback books. Each shelf of history books contains $$18$$ hardcover books and $$10$$ paperback books. A book from one of these shelves will be selected at random. What is the probability of selecting a mystery book, given that the book is a paperback?

   • $$\frac{21}{53}$$
   • $$\frac{7}{15}$$
   • $$\frac{28}{59}$$
   • $$\frac{14}{29}$$

7. The table summarizes the results of a survey of $$180$$ high school students about their preferred method for studying for exams.To the nearest tenth of a percent, what percent of students who prefer the online method are upperclassmen?

   • $$57.1\%$$
   • $$60.0\%$$
   • $$66.7\%$$
   • $$75.0\%$$

8. In the fall of $$2020$$, a city library had a collection of $$16000$$ books. The major categories were fiction, non-fiction, history, and science. By the fall of $$2022$$, the total number of books in the collection had increased to $$20000$$. If a book from the collection in the fall of $$2022$$ is selected at random, the probability that the book is in the history category is $$0.35$$. There were $$h$$ history books in the library's collection in the fall of $$2022$$. What is the value of $$h$$?

   • $$5200$$
   • $$6700$$
   • $$7000$$
   • $$7300$$

9. A travel company surveyed customers to find out their preferred type of vacation package. Some customers responded online, while others responded in person. The table below shows the percentage distribution of preferred vacation types by response method.It is known that the total number of online responses was twice the number of in-person responses. If a customer who preferred a city tour is selected at random, what is the probability that the customer responded online?

   • $$\frac{3}{4}$$
   • $$\frac{1}{4}$$
   • $$\frac{1}{2}$$
   • $$\frac{3}{5}$$

10. A car manufacturer produces cars in red, blue, black, white, and green. The incomplete table shows the percentage of cars it produces in each color.If a car from the manufacturer is chosen at random, what is the probability that the car's color is black or green?

    • $$57\%$$
    • $$59\%$$
    • $$41\%$$
    • $$32\%$$