Tree Diagrams and Sample Spaces

What is sample space?

• a process with an uncertain result

• a possible result of an action

• a list of all possible outcomes of an event

• a single outcome or group of outcomes

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.3

Action: spin the spinner.

What is the sample space?

• 1, 2, 3, 4, 5, 6

• 2, 4, 6, 8, 11, 15

• 2, 4, 6, 8, 11

• 2, 2, 4, 4, 6, 6

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

Action: Spin the spinner

What is the sample space?

• A, B, C, E, F

• A, A, B, C, E, E, E, F

• 5 letters

• 8 sections

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

Jason can choose 1 pair of pants and one shirt to wear today. Here are his choices. Which tree diagram shows all of the combinations that Jason can choose from?

• 
• 
• 
• 

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

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

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

• 6
• 12
• 24
• 36

Tags

CCSS.7.SP.C.8

Which shows the sample space for flipping two coins?

• H, T
• HH, HT, TH, TT
• HH, TT
• Dime, Nickel

Tags

CCSS.7.SP.C.8

How many outcomes are there with tossing a coin and rolling a dice?

• 2
• 6
• 12
• 24

Tags

CCSS.7.SP.C.7

CCSS.7.SP.C.8

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

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.8

A Tree Diagram is

• A written list of all possible outcomes

• A description of all possible outcomes

• A drawing with branches of all possible outcomes

Tags

CCSS.7.SP.C.8