Probability with Area Models

The extent to which something is likely to occur is known as - 

• sample space

• an event

• probability

• data

Which of the following methods is NOT a good tool for determining sample space?

• tree diagrams

• area models

• organized lists

• guess and check

A measurement of the likelihood of an event or events occurring on a scale of 0 to 1 is called - 

• data

• luck

• probability

• trials

The likelihood that an event will NOT occur is known as its - 

• complement

• sample space

• opposite

• trial

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.

True or False: If you spin this spinner once, landing on one and landing on 2 have the same probability.

• True:  There are 3 spaces for you to land on each of those numbers 

• False:  The space of 2 on the spinner is greater than the space for 1. 

If you spin the spinner 90 times, how many times should the number 3 be selected?

• 9

• 15

• 16

• 30

Find the geometric probability of a marble falling on the shaded region of the figure. 

• 75%

• 45%

• 50%

• 80%

Find the probability that a randomly chosen point in the figure lies in the shaded region.

• 94.8%

• 80%

• 60%

• 45.6%