#12.1 Sample Spaces and Probability

What is the number of possible outcomes in the sample space if you flip 3 coins?

• 3

• 4

• 6

• 8

What is the number of possible outcomes in the sample space for this situation:

A clown has three purple balloons labeled a, b, and c, three yellow balloons labeled a, b, and c, and three turquoise balloons labeled a, b, and c. The clown chooses a balloon at random.

• 2

• 6

• 9

• 18

Your friend has eight sweatshirts. Three sweatshirts are green, one is white, and four are blue. You forgot your sweatshirt, so your friend is going to bring one for you as well as one for himself. What is the probability that your friend will bring two blue sweatshirts?

• $\frac{1}{4}$

• $\frac{1}{28}$

• $\frac{3}{14}$

• $\frac{2}{16}$

Find the probability that a student chosen at random has a GPA of at least 3.0

• 0.25

• 0.19

• 0.44

• 0.32

Find the probability that a student chosen at random has a GPA between 1.0 and 2.9, inclusive.

• 0.09

• 0.41

• 0.26

• 0.50

A bag contains 40 marbles. There are an equal amount of red, yellow, blue and black marbles. What is the probability of drawing 1 red marble from the bag?

• $\frac{1}{40}$

• $\frac{1}{4}$

• $\frac{2}{5}$

• $\frac{1}{8}$

When two six-sided dice are rolled there are 36 outcomes. Find the probability that the sum is 6.

• $\frac{1}{5}$

• $\frac{5}{36}$

• $\frac{1}{36}$

• $\frac{1}{6}$

When two six-sided dice are rolled there are 36 outcomes. Find the probability that the sum is NOT 4.

•  $\frac{1}{12}$ 

•  $\frac{5}{12}$ 

•  $\frac{11}{12}$ 

•  $\frac{7}{12}$ 

Find the probability that you draw a 3 from a standard deck of cards.

• $\frac{1}{4}$

• $\frac{1}{13}$

• $\frac{4}{13}$

• $\frac{3}{52}$

Tell whether the statement is always, sometimes, or never true:

The experimental probability of an event occurring is equal to the theoretical probability of an event occurring.

• Always

• Sometimes

• Never