Set Theory Probability

The tree diagram shows the outcomes of rolling a die and flipping a coin.  
How many total outcomes are there?  

• 6

• 12

• 24

• 36

If R = {Sara, Dylan, Sasha, Martina} and S = {Chris, Dylan, Sean, Michael, Martina}, then R ⋂ S is...

• {Chris, Michael}

• {Dylan}

• {Sara, Dylan, Sasha, Martina, Chris, Sean, Michael}

• {Dylan, Martina}

From the above Venn diagram, what is the set S ∩ T?

• {casey, drew, jade}

• {alex, casey, drew ,hunter, jade}

• {casey, drew}

• {casey}

From the above Venn diagram, what is the set S' ?

• {casey, drew, alex, hunter}

• {blair, francis, glen, jade}

• {blair, erin, francis, ira}

• {jade, glen, blair, erin, francis, ira}

How many students do not ski or ice skate?

• 10

• 16

• 22

• 28

Which of the following represents the shaded region?

• (⋃ B)'

• (∩ B)'

• A'

• B'

Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag?

• 1 ⁄ 16

• 1 ⁄ 2

• 1 ⁄ 4

• 1 ⁄ 8

You roll a six sided die. What is the probability of rolling an even number three times in a row?

• 3/100

• 1/2

• 1/6

• 1/8

If you roll one die, what is the probability of getting an even number or a multiple of 3?

• 1/3

• 2/3

• 1/2

• 1/6

In the 10th grade Geometry classes, there are 60 boys and 70 girls. At this point in the semester, 12 boys and 14 girls have an A.

If a student is selected at random, what is the probability of choosing a boy or a student without an A?

• 0.75

• 0.89

• 0.10

• 1.26