Concentric circles have radii of 4 centimeters and 8 centimeters. What is the probability that a grain of rice dropped onto the circles at random lands outside the circle with the 4-centimeter radius and inside the circle with the radius of 8 centimeters? A. $4 \%$ B. $25 \%$ C. $50 \%$ D. $75 \%$

The extracurricular activities in which members of the senior class at Valley View High School participate are shown in the Venn diagram.

How many seniors participate in athletics?

Simplify

$$\frac{2}{9} \cdot \frac{4}{8}$$

Visitors to a school fair get a chance to use a random number generator to choose coordinates for a point on a square board. They win a prize if the point lies on or in a triangle in the middle of the board, as shown. What is the probability that a visitor wins a prize? Express the probability as a decimal rounded to the nearest hundredth.

Damien performs an experiment that involves spinning a spinner two times. First he plots the point $P(1,-3)$. Then he spins a spinner with sectors numbered 1,2, and 3 , and transforms point $P$ as shown in the table. Then he spins again and transforms the image of point $P$. Damien notes the final image of the point. Which of the following is not in the sample space for this experiment?

$$\begin{array}{|c|c|} \hline \text { Result of Spin } & \text { Transformation } \\ \hline 1 & \text { Reflect in } x \text {-axis } \\ \hline 2 & \text { Reflect in } y \text {-axis } \\ \hline 3 & \text { Reflect in line } y=x \\ \hline \end{array}$$

A. $(-3,1)$ B. $(3,1)$ C. $(-1,3)$ D. $(1,-3)$

The extracurricular activities in which members of the senior class at Valley View High School participate are shown in the Venn diagram.

How many students are in the senior class?

The two-way frequency table shows the results of a survey in which college math majors and history majors were asked whether they prefer to work on a laptop computer or a tablet. What is the probability that a student prefers to work on a tablet given that he or she is a math major?

$$\begin{array}{|l|c|c|c|} \hline \text { } & \text { Math Major } & \text { History Major } & \text { Totals } \\ \hline \text { Laptop } &69 & 21 & 90 \\ \hline \text { Tablet } &43 & 61 & 95 \\ \hline \text { Totals } & 103 & 82& 185 \\ \hline \end{array}$$

$\bigcirc$ A $18.4 \%$

$\bigcirc$ B $33.0 \%$

$\bigcirc$ C $35.8 \%$

$\bigcirc$ D $67.0 \%$

Desirée is preparing for homecoming and must decide what to wear. Assume one of each is chosen.

$$\begin{array}{|l|c|} \hline \text { Options } & \begin{array}{c} \text { Number of } \\ \text { Choices } \end{array} \\ \hline \text { dress } & 15 \\ \hline \text { shoes } & 5 \\ \hline \text { purse } & 3 \\ \hline \text { earrings } & 4 \\ \hline \text { necklace } & 2 \\ \hline \end{array}$$

Find the number of possible outcomes.

A card is randomly chosen from a deck of 52 cards, replaced, and a second card is chosen. What is the probability of choosing both of the cards shown at the right?

An archer aims at a target with 10 concentric circles whose diameters decrease by $12.2$ centimeters as they get closer to the center. Find the probability that the archer will hit the center. Assume every point on the target is equally likely to be hit.

Omar has a bag of 26 tiles, each containing a different letter of the alphabet. He reaches into the bag and chooses one tile without looking. What is the best estimate of the probability that he chooses a vowel or the letter Y?

A 4%

B 19%

C 23%

D 81%

A traveling salesperson needs to visit four cities in her territory. How many distinct itineraries are there for visiting each city once?

Design and conduct a simulation using a geometric probability model. Then report the results using appropriate numerical and graphical summaries.

Bridget is a member of the bowling club at her school. Last season she bowled a strike $60 \%$ of the time.

Mayumi surveyed a random sample of people who commute to work on a bus or on a train and she asked them whether or not they own a car. The data are shown in the two-way frequency table. Answer the question and tell whether you are using a marginal frequency or joint frequency.

$$\begin{array}{|l|c|c|c|} \hline \text { } & \text { Car } & \text { No Car } & \text { Totals } \\ \hline \text { Bus } & 8 & 62 & 70 \\ \hline \text { Train } & 16 & 34 & 50 \\ \hline \text { Totals } & 24 & 96 & 120 \\ \hline \end{array}$$

How many people who commute on a train were surveyed?