8.3 Tree Diagrams and the Counting Principle

An ice cream shop offers a choice of three types of cones and 31 flavors of ice cream.  A customer gets to choose a cone and a type of ice cream.  How many different 1-scoop ice cream cones can a customer order? 

• 34
• 2
• 3
• 93

Tags

CCSS.HSS.CP.B.9

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

• 15
• 40
• 80
• 10

Tags

CCSS.HSS.CP.B.9

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.HSS.CP.B.9

At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different pizzas do you have to choose from?

• 32
• 192
• 40,320
• 51,200

Tags

CCSS.HSS.CP.B.9

Find the total number of outcomes when choosing between plain, BBQ, sour cream & onion, or salt & vinegar potato chips, rippled or regular, in a small or large bag.

• 16
• 24
• 10
• 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.HSS.CP.A.1

CCSS.HSS.CP.B.9

The tree diagram shows the outcomes of rolling a die and flipping a coin.

What is the probability of rolling a number less than 6 and flipping a head?

• ²/₁₂

• ³/₁₂

• ⁴/₁₂

• ⁵/₁₂

How many total outfit options are represented?

• 12
• 22
• 3

Tags

CCSS.3.OA.A.3

The cafeteria is serving three kinds of sandwiches:  tuna (T), chicken, (C), and peanut butter (P).  They are also serving a choice of two drinks:  milk (M) or water (W).  Which shows the complete set of possible combinations?

• TW, CW, PW
• TW, TM, TC, CW, PW
• TW, TM, CW, CM, PW, PM
• TCP, MW

Tags

CCSS.3.OA.A.1

CCSS.3.OA.A.3

Use the tree diagram to find the probability of tossing a head first and then a tail when a coin is tossed twice.

• 1

• 1_/2

• 1/₄

• 1/8

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.8