tree diagrams and counting principle

You have a 3 tops, 2 pants and 2 shoes. How many total outfit options are represented?

(a)  

What is the probability that you will get mushrooms on your pizza?

Mathematical Equivalence

ON

Tags

CCSS.7.SP.C.8B

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)

Tags

CCSS.7.SP.C.8B

What is the probability of randomly choosing a breakfast with a bagel and coffee?

• 1/8 because there is only 1 outcome out of the 8 possible choices that include both a bagel and coffee.

• 1/2 because there is only cereal and a bagel to choose from

• 1/4 because there is only one out of the four choices that include coffee

• 3 because the words "coffee" and "bagel" are on the diagram a total of 3 times.

What is the probability of randomly picking a lunch with pizza, soda, and ice cream?

(a)  

Tags

CCSS.7.SP.C.8B

(a)  

Tags

CCSS.7.SP.C.8B

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? 

(a)  

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

(a)  

Tree Diagram

• 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.8B

A restaurant serves 5 main dishes, 3 salads, and 4 desserts. How many different meals could be ordered if each has a main dish, a salad, and a dessert?

• 5 x 3 x 4 = 60

• 5 + 3 + 4 = 12