Tree Diagrams and Sample Spaces

In your closet you have 3 shirts, 4 pair of pants, and 2 pair of shoes? How many different outfits can you make?

• 9

• 24

• 12

• 8

How many possible outcomes are there if you flip 3 coins?

• 16

• 4

• 2

• 8

What is a tree diagram?

• A diagram that starts with putting a seed in the ground

• Apple Tree

• Another way to show all possible outcomes

• Christmas Tree

What is a Sample Space?

• A list of all possible outcomes

• The number of times a coin lands on heads

• The number of hearts in a deck of cards

• Undefined

• A

• B

• C

• D

• F

• G

• H

• J

How many total outfit options are represented?

• 12
• 22
• 3

Tags

CCSS.3.OA.A.3

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

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

• TM, TW, CM, CW, PM, PW

• TCP, MW

What is the total number of outcomes for picking a cat or dog and choosing the colors black, brown or spotted?

• 2
• 4
• 6
• 8