The standings list after the first day of a 3-day tournament is shown below. What is the probability that Wyatt, Gabe, and Isaac will all finish in the top 3 ?

Determine whether the events are mutually exclusive or not mutually exclusive. Then find the probability. Round to the nearest hundredth.

rolling a pair of dice and getting a sum of either 6 or 8

Two similar rectangular prisms have surface areas of 83.2 square feet and 20.8 square feet, respectively. If the volume of the first prism is 46.5 cubic feet, what is the volume of the second prism rounded to the nearest tenth?

When the 18 French class students randomly line up for a fire drill, what is the probability that Amy is first and Zach is last in line?

Jack has been offered a number of internships that could occur in 3 different months, in 4 different departments, and for 3 different companies. Only in July is Jack available to finish his internship. How many possible outcomes may his internship have?

Point X is chosen at random on $\overline{L P}$. Find the probability of each event.

P(X is on $\overline{M O})$

A cylindrical sculpture has a radius of 50 millimeters and a height of 15 centimeters. The mass of the sculpture is 3.7 kilograms. A sculpture in the shape of a rectangular prism has a length f 62 millimeters, width of 40 millimeters, and height of 12 centimeters. Its mass is 1250 grams. Which sculpture has a greater density? Explain.

Point L is chosen at random on $\overline{R S}$. Find the probability of each event.

P(L is on $\overline{U S})$

Determine whether the events are independent or dependent. Then find the probability.

From a standard deck of 52 cards, a king is drawn without replacement. Then a second king is drawn.

Determine the shape of the cross-section formed by the intersection of the described plane with the solid.

plane at an angle relative to the base through opposite faces

Determine the shape of the cross-section formed by the intersection of the described plane with the solid.

plane at an angle relative to the bases that do not intersect either base

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

A game has 50 cards numbered 1 to 5 , and a player must draw a 2 or a 3 to move out of the "start" position.

The probability of Chris making a free throw is $\frac{2}{3}$. If she shoots 5 times, find each probability.

a. P (all missed)

b. P (all made)

c. P (exactly 2 made)

d. P (exactly 1 missed )

e. P (at least 3 made)

f. P (at most 2 made)

Sketch the cross section from a vertical slice of each figure.

2 rectangles fused together to make an 8 sided cross shaped figure.