Sample Space Using List and Tree Diagrams

What information does a tree diagram provide?

• Average Results

• Consistency Correlations

• Directional Distribution Counts

• Possible Outcomes

In Billy's sock drawer, he has loose socks of three colors (red, white and brown). If he reaches in twice, what is the total possible of combinations he could grab?

• 3

• 6

• 9

• 12

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

Spencer has an eight-sided die that is marked from 1 to 8. if he rolls it twice, how many number combinations would be possible?

• 8

• 16

• 64

• 80

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

• 15
• 40
• 80
• 10

How many styles of sneakers are possible if Jared can choose from high-top or low-top, shoelaces or velcro, and the colors black, white, and red?

• 12
• 7
• 223
• 64

What is a sample space?

• All possible outcomes

• An area where you record your data

• The most probable responses to a question

• Whether or not a possibility is likely

Simon is having cereal for breakfast and has the five choices pictured. What is the sample space of choices?

• Honey Nut Cheerios

• Cinnamon Toast Crunch, Honey Nut Cheerios and Reese's Puffs

• Cinnamon Toast Crunch, Cocoa Puffs, Honey Nut Cheerios, Reese's Puffs and Rice Chex

• Cinnamon Toast Crunch, Cocoa Puffs, Frosted Flakes, Honey Nut Cheerios, Reese's Puffs and Rice Chex

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

• 13
• 32
• 60
• 16

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