1. Do Now
Check Homework A B C D

2. Objective
SWBAT use tree diagrams and the fundamental counting principle to find the number of possible outcomes in a situation and the probability of an event.
SWBAT identify sample spaces

3. Use a Tree Diagram to Count Outcomes
GREETING CARDS A greeting card maker offers three birthday greetings in four possible colors, as shown below. Draw a tree diagram to find the number of cards that can be made from three greeting choices and four color choices.

4. You can draw a diagram to find the number of possible cards.
Use a Tree Diagram to Count Outcomes
You can draw a diagram to find the number of possible cards.
Answer: There are 12 possible cards.

5. ICE CREAM An ice cream parlor offers a special on one-scoop sundaes with one topping. The ice cream parlor has 5 different flavors of ice cream and three different choices for toppings. How many different sundaes can be made?
A. 3
B. 5
C. 8
D. 15 A B C D

7. Use the Fundamental Counting Principle.
CELL PHONES A cell phone company offers 3 payment plans, 4 styles of phones, and 6 decorative phone wraps. How many phone options are available?
Use the Fundamental Counting Principle.
The number of types of payment plans
times
the number of styles of phones
the number of decorative wraps
equals
the number of possible outcomes.
3 × 4 × 6 = 72
Answer: There are 72 possible phone options.

8. Example 2 CYP
SANDWICHES A sandwich shop offers 4 choices for bread, 5 choices for meat, and 3 choices for cheese. If a customer can make one choice from each category, how many different sandwiches can be made?
A. 60
B. 12
C. 5
D. 3 A B C D

9. The students combinations for their locker is 3 numbers long and include the numbers 0 through 39. How many possible locker combinations are there?

10. A password must be 8 characters long
A password must be 8 characters long. It must include 6 letters and 2 numbers. Find the number of possible passwords.

11. A password must be 8 characters long
A password must be 8 characters long. It must include 6 letters and 2 numbers. No characters can be repeated. Find the number of possible passwords.

12. Jenna’s ski lock has 4 rotating discs and each contains the digits 0 – 9. When she chose her combination, she did not repeat any numbers. How many different possibilities are there for Jenna’s lock combination?