Sample Space Using List and Tree Diagrams

During snack time, the students were offered their choice of either white or chocolate milk, and either chocolate chip or oatmeal cookies. How many variations were possible?

• 1

• 2

• 4

• 6

If Alonzo orders a cheeseburger, he first must decide if he wants a single patty or a double. Then, he has to choose either cheddar cheese, Swiss cheese or pepper jack cheese. Finally, he has to pick mayonnaise or mustard. If he created a tree diagram for his choices, how many different variations would there be available?

• 7

• 12

• 19

• 24

The list shows all the possible outcomes for which experiment?

S = (Heads, Heads), (Heads, Tails), (Tails, Heads), (Tails, Tails)

• Flipping a coin one time

• Flipping a coin two times

• Flipping a coin three times

• Flipping a coin four times

What is the sample space for this spinner?

• 1

• 8

• 1, 2, 3, 4, 5, 6, 7, 8

• 50/50

The tree diagram shows the outcomes of rolling a die and flipping a coin.  
What is the probability of rolling an even number and flipping a head?

• ³/₁₂

• ¹/₂

• ⁴/₁₂

• ⁰/₁₂

If Lena has four aces in her hand, one of each suit, which list represents the sample space of outcomes where she picks a red suit?

• Ace of Hearts

• Ace of Diamonds

• Ace of Hearts and Ace of Diamonds

• Ace of Clubs, Ace of Hearts, Ace of Spades and Ace of Diamonds

If you spin two spinners, one with 2, 4 and 6 and the other with 1, 3 and 5, what is the sample space?

• 1, 2, 3, 4, 5, 6

• 2, 4, 6

• 1, 3, 5

• (1, 2), (1, 4), (1, 6), (3, 2), (3, 4), (3, 6), (5, 2), (5, 4), (5,6)

For breakfast, you can choose to eat cereal or a bagel and to drink coffee, OJ, tea, or water. What is the sample space of this situation?

• 2, because there are 2 things to choose from to eat.

• 4, because there are 4 things to choose from to drink

• 10, because I see 10 different words on the tree diagram

• 8, because there are 8 different outcomes (cereal, coffee) (cereal, OJ) (cereal, tea) (cereal, water) (bagel, coffee) (bagel, OJ) (bagel, tea) (bagel, water)

• Answer Choice A
• Answer Choice B
• Answer Choice C
• Answer Choice D

When rolling 1 die once, spinning a spinner once, and flipping a coin once, how many combinations are possible?

• 13

• 60

• 32

• 16