Probability Area Models

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 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.

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

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 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

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.

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.

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.

Bucket #1 has 1 red, 1 blue

Bucket #2 has 1 red, 1 blue, 1 green, 1 yellow

One marble is chosen from each bucket.

What is the total number of outcomes?

• 16

• 7

• 19

• 12

P (RR) = ______

• 1/4

• 4/12

• 1/12

• 1/7