Geometry Probability--Using Tree Diagrams & Area Models

Geometry Probability--Using Tree Diagrams & Area Models

9th - 12th Grade

8 Qs

quiz-placeholder

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Geometry Probability--Using Tree Diagrams & Area Models

Geometry Probability--Using Tree Diagrams & Area Models

Assessment

Quiz

Mathematics

9th - 12th Grade

Practice Problem

Hard

Created by

J. Gladbach

Used 98+ times

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8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Leslie is playing the "Pick a Marble" game. A bag contains one red, one white, and one brown marble. Each marble has an equal chance of getting chosen. Leslie reaches in, picks a marble, notes its color, and returns it to the bag. She then picks another marble out of the bag and notes its color. The tree diagram shows the sample space for a first and second selection of the marble. How many different outcomes are there with two marble selections?

3

9

12

none of the above

2.

FILL IN THE BLANK QUESTION

2 mins • 1 pt

Media Image

Refer to the "Pick a Marble" tree diagram. What is the probability Leslie will choose two white marbles? Enter your answer as a percentage rounded to the nearest tenth.

3.

FILL IN THE BLANK QUESTION

2 mins • 1 pt

Media Image

Refer to the "Pick a Marble" tree diagram. What is the probability Leslie will choose at least one brown marble? Express your answer as a percentage rounded to the nearest tenth.

4.

FILL IN THE BLANK QUESTION

2 mins • 1 pt

Media Image

Refer to the "Pick a Marble" tree diagram. What is the probability Leslie will not choose any red marbles? Express your answer as a percentage, rounded to the nearest tenth of a percent.

5.

FILL IN THE BLANK QUESTION

2 mins • 1 pt

Media Image

Refer to the "Pick a Marble" tree diagram. What is the probability Leslie will choose two marbles of the same color? Express your answer as a percentage, rounded to the nearest tenth of a percent.

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

A game consists of two spinners. Spinner #1 consists of the colors green, blue, and red. The spinner has a 1/3 chance of landing on any color in Spinner #1. Spinner #2 also consists of colors green, blue, and red. On that spinner, green has a 1/2 chance of being landed on, blue has a 1/4 chance, and red has a 1/4 chance. Refer to the diagram, which shows an area model of the sample space. What fractions should represent the boxes containing A, B, and C?

A=19 B = 19 C = 19A=\frac{1}{9}\ \ B\ =\ \frac{1}{9}\ \ \ C\ =\ \frac{1}{9}

A=16 B = 16 C = 16A=\frac{1}{6}\ \ \ \ \ \ B\ =\ \frac{1}{6}\ \ \ \ \ \ C\ =\ \frac{1}{6}

A=13 B = 16 C = 16A=\frac{1}{3}\ \ \ \ B\ =\ \frac{1}{6}\ \ \ \ \ C\ =\ \frac{1}{6}

A=16 B = 19 C=112A=\frac{1}{6}\ \ \ \ B\ =\ \frac{1}{9}\ \ \ \ \ C=\frac{1}{12}

7.

FILL IN THE BLANK QUESTION

2 mins • 1 pt

Media Image

A game consists of two spinners. Spinner #1 consists of the colors green, blue, and red. The spinner has a 1/3 chance of landing on any color in Spinner #1. Spinner #2 also consists of colors green, blue, and red. On that spinner, green has a 1/2 chance of being landed on, blue has a 1/4 chance, and red has a 1/4 chance. Refer to the diagram, which shows an area model of the sample space. What is the probability of getting red on both spins?  Express answer as a percentage, rounded to the nearest tenth.

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