Probability Area Models
Authored by Anthony Clark
Mathematics
7th Grade
Used 2+ times
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20 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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?
2.
FILL IN THE BLANKS QUESTION
1 min • 1 pt
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.
(a)
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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
4.
FILL IN THE BLANKS QUESTION
1 min • 1 pt
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.
(a)
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A sports bag contains 3 tennis balls, 4 baseballs, and 8 golf balls. Each is equally likely to be chosen. Which of the following models could be used to simulate this situation?
flipping a coin fifteen times
spinning a spinner with three equal sections
choosing from 3 red marbles, 4 yellow marbles, and 8 blue marbles
rolling a number cube labeled one through six fifteen times
6.
FILL IN THE BLANKS QUESTION
1 min • 1 pt
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.
(a)
7.
FILL IN THE BLANKS QUESTION
1 min • 1 pt
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.
(a)
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