Geometry 10-8 Geometric Probability

by Matthew Richardson

| 24 QuestionsNote from the author:

A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

1

10 pts

Sovle It! A fair coin is equally likely to land heads up or tails up. Suppose you toss a fair coin three times. What is the probability that the coin will land tails up exactly twice?

Enter your response as a reduced fraction in this form: "2/5"

2

2

10 pts

Problem 1 Got It?

A

B

C

D

3

3

10 pts

Problem 2 Got It?

A

B

C

D

4

4

10 pts

Problem 3 Got It?

A

B

C

D

5

6

5

10 pts

Problem 4 Got It? What is the probability that an arrow hits the yellow zone of the same target from Problem 4? Round your answer to the nearest percent and respond using this format: "12%"

7

7

10 pts

A

B

C

D

8

8

10 pts

A

B

C

D

9

9

10 pts

A

B

C

D

10

10

10 pts

A

B

C

D

11

11

10 pts

A

B

C

D

12

12

10 pts

Reasoning: In the figure shown, SQ/QT = ½. What is the probability that a point on segment ST chosen at random will lie on segment QT? Enter your response as a reduced fraction in this form: "5/7"

13

13

10 pts

Error Analysis: Your class needs to find the probability that a point A in the square chosen at random lies in the shaded region. You classmate's work is shown. What is the error? Explain.

14

10 pts

Review Lesson 10-7: A circle has circumference 20 π ft. What is the area in terms of π? Enter your response in this format: "43 pi"

15

10 pts

Review Lesson 10-7: A circle has radius 12 cm. What is the area of a sector of the circle with a 30° central angle in terms of π?

144π cm²

12π cm²

6π cm²

3π cm²

16

10 pts

Review Lesson 9-4: Use △ABC above to match the coordinates of the image, △A''B''C'', that results from each composition of transformations described.

- A'' = (-6, -1), B'' = (-5, -4), C'' = (-3, -2)
- A'' = (-2, -2), B'' = (1, -1), C'' = (-1, 1)
- A'' = (4, -1), B'' = (1, 0), C'' = (3, 2)

17

10 pts

Review Lesson 1-2: Use the cube provided on the canvas and shade the planes containing the indicated points using the indicated colors.

18

10 pts

Review Lesson 1-2: Draw a net for the cube in the space provided. Label all vertices.

19

5 pts

Vocabulary Review: A point indicates a location and has no size.

True

False

20

5 pts

Vocabulary Review: A line contains a finite number of points.

True

False

21

21

5 pts

Vocabulary Review: Which segment in the diagram includes point S?

22

5 pts

Use Your Vocabulary: Select the correct order of the terms favorable and possible to fill in the blanks and complete the sentence.

The probability of an event is the ratio of the number of __?__ outcomes to the number of __?__ outcomes.

favorable, possible

possible, favorable

23

10 pts

Use Your Vocabulary: There are 7 red marbles and 3 green marbles in a bag. One marble is chosen at random. Identify the probability that a green marble is chosen, written as a fraction, as a decimal, and as a percent. Each category will contain only one probability.

- 3/7
- 3/10
- 0.03
- 0.30
- 30%
- 70%

- Written as a fraction
- Written as a decimal
- Written as a percent

24

10 pts

Reflection: Math Success

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