Tree Diagrams and Fundamental Counting Principle

Which method of finding the total outcomes of an event allows you to see all possible outcomes?

• fundamental counting principle
• experimental probability
• theoretical probability
• tree diagram

Tags

CCSS.7.SP.C.8

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

• 15
• 40
• 80
• 10

Tags

CCSS.2.OA.C.3

A particular model at a New Car Dealership comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

• 180
• 23
• 12
• 60

Tags

CCSS.7.EE.B.3

You are about to take 6 question test. Each question has 4 possible answer choices. How many ways can you answer the test if you answer each question?

• 4096
• 24
• 1296
• 10

Tags

CCSS.3.OA.A.3

How many license plates consisting of three letters followed by three numbers are possible when no repetition is allowed?

• 26 x 25 x 24 x 10 x 9 x 8 = 11232000

• 26 x 26 x 26 x 10 x 10 x 10 = 17576000

• 26 x 25 x 24 x 9 x 8 x 7 = 7862400

• 26 x 26 x 26 x 9 x 9 x 9 = 12812904

Tags

CCSS.HSS.CP.B.9

A menu has 6 different sandwiches, with 3 choices of potato chips, 3 types of salad and 5 different beverages. How many different lunch combinations consisting of a sandwich, chips and beverage can be ordered?

• 30
• 17
• 90
• 270

Tags

CCSS.7.EE.B.3

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

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.8

CCSS.7.SP.C.5

The tree diagram shows the outcomes of rolling a die and flipping a coin.  
What is the probability of rolling a less than 6 and flipping a head?

• ²/₁₂
• ³/₁₂
• ⁴/₁₂
• ⁵/₁₂

Tags

CCSS.7.SP.C.8

CCSS.7.SP.C.5

How many total outfit options are represented?

• 12
• 22
• 3

Tags

CCSS.4.NBT.B.5