Problem-Solving and Data Analysis - Probability and Conditional Probability — Quiz 3

Questions in this quiz (10)

1. The table summarizes the distribution of shape and material for $$120$$ tiles.If one tile is selected at random, what is the probability of selecting a ceramic tile? Express your answer as a/b.

   • 5/24

2. Each vertex of a $$12$$-sided polygon is labeled with one of the $$12$$ letters A through L, with a different letter at each vertex. If one vertex is selected at random, what is the probability that the letter F will be at the selected vertex? Express your answer as (a/b)

   • 1/12

3. At a workshop, there are $$300$$ participants. Each participant is assigned to group X, group Y, or group Z. The probability of selecting a participant from group X is $$0.5$$ and from group Y is $$0.3$$. How many participants are assigned to group Z?

   • 60

4. The table above shows information about $$18$$ cars listed for sale. If one of the cars listed for sale is selected at random, what is the probability that the car selected will be an electric car priced at no more than $$30{,}000$$ dollars?

   • $$\frac{2}{9}$$
   • $$\frac{1}{3}$$
   • $$\frac{4}{9}$$
   • $$\frac{5}{9}$$

5. The table below shows the number of parks in a state with hiking trails and lakes.If one park is selected at random, what is the probability that it has hiking trails but no lake?

   • $$\frac{6}{40}$$
   • $$\frac{6}{18}$$
   • $$\frac{10}{40}$$
   • $$\frac{18}{40}$$

6. The same $$15$$ contestants competed on $$3$$ days. Each day, they could score $$0$$ to $$5$$ points. No contestant received the same score twice. If a contestant is selected at random, what is the probability that the contestant scored $$5$$ on Day $$1$$ or Day $$2$$, given that the contestant scored a $$5$$ on one of the three days? Express your answer as (a/b)

   • 2/3

7. A table shows blood type distribution. Among Rh-negative individuals, there are $$12$$ with type A, $$6$$ with type B, $$2$$ with type AB, and $$x$$ with type O. If the probability that a randomly selected Rh-negative individual has type B is $$\frac{1}{5}$$, what is the value of $$x$$?

   • 10

8. A student recorded rainy and dry days over $$10$$ weeks. The table is shown below.If one of the days with no rain is selected at random, what is the probability that the day was a weekend day?

   • $$\frac{14}{54}$$
   • $$\frac{54}{70}$$
   • $$\frac{14}{20}$$
   • $$\frac{20}{54}$$

9. The table summarizes participants by age group and team for $$120$$ participants.If one participant is selected at random, what is the probability that the participant is from Team $$1$$, given that the participant is at least $$18$$ years old? Express your answer as a/b.

   • 3/8

10. The table shows employees by department and education level.If a person is selected at random from the Sales department, what is the probability that the person has a master's degree?

    • $$\frac{3}{9}$$
    • $$\frac{3}{10}$$
    • $$\frac{6}{9}$$
    • $$\frac{7}{10}$$