Lesson 12-6 Pages 635-639

Counting Outcomes

What you will learn!1. How to use tree diagrams or the Fundamental Counting Principle to count outcomes.

2. How to find the probability of an event.

Tree diagramTree diagramFundamental counting Fundamental counting principleprinciple

What you really need to know!

The Fundamental Counting Principle relates the number of outcomes to the number of choices. When you know the number of choices, you can find the probability that an event will occur.

What you really need to know!

Choices x Choices = Number of outcomes

A greet-card maker offers four birthday greetings in five possible colors, as shown in the table. How many different cards can be made from four greeting choices and five color choices?

GreetingGreeting ColorColor

HumorousHumorous BlueBlue

TraditionalTraditional GreenGreen

RomanticRomantic OrangeOrange

““From the From the Group”Group” Purple/RedPurple/Red

11

22

33

44

55

66

77

88

99

1010

1111

1212

1313

1414

1515

1616

1717

1818

1919

2020

20

A greet-card maker offers four birthday greetings in five possible colors, as shown in the table. How many different cards can be made from four greeting choices and five color choices?

4 greetings x 5 colors = 20 ways

A cell phone company offers 3 payment plans, 4 styles of phones, and 6 decorative phone wraps. How many phone options are available?

The number of types of payment

plans

times

the number of styles of phones

times

the number of

decorative wraps

equals

the numberof possible outcomes.

3 4 6 72

Henry rolls a number cube and tosses a coin. What is the probability that he will roll a 3 and toss heads?

1 2 3 4 5 6

H T H T H T H T H T H T

Number Cube

Coin

There are 12 possible endings. The is only 1 chance out of all 12 to roll a 3 and toss heads. 12

1

Page 637

Guided Practice

#’s 4-9

Pages 635-637 with someone at home and

study examples!

Read:

Homework: Pages 638-639

#’s 10-26 all

#’s 29 and 30

Lesson Check 12-6

Page

754

Lesson 12-6

1,1 2,1 3,1 4,1 5,1 6,1

1,2 2,2 3,2 4,2 5,2 6,2

1,3 2,3 3,3 4,3 5,3 6,3

1,4 2,4 3,4 4,4 5,4 6,4

1,5 2,5 3,5 4,5 5,5 6,5

1,6 2,6 3,6 4,6 5,6 6,6

The outcomes of rolling two number cubes.

1,1 2,1 3,1 4,1 5,1 6,1

1,2 2,2 3,2 4,2 5,2 6,2

1,3 2,3 3,3 4,3 5,3 6,3

1,4 2,4 3,4 4,4 5,4 6,4

1,5 2,5 3,5 4,5 5,5 6,5

1,6 2,6 3,6 4,6 5,6 6,6

10 with only one 3.

1,1 2,1 3,1 4,1 5,1 6,1

1,2 2,2 3,2 4,2 5,2 6,2

1,3 2,3 3,3 4,3 5,3 6,3

1,4 2,4 3,4 4,4 5,4 6,4

1,5 2,5 3,5 4,5 5,5 6,5

1,6 2,6 3,6 4,6 5,6 6,6

The outcomes of rolling two number cubes.

1,1 2,1 3,1 4,1 5,1 6,1

1,2 2,2 3,2 4,2 5,2 6,2

1,3 2,3 3,3 4,3 5,3 6,3

1,4 2,4 3,4 4,4 5,4 6,4

1,5 2,5 3,5 4,5 5,5 6,5

1,6 2,6 3,6 4,6 5,6 6,6

18 odd sums and 18 even sums.

Homework: Pages 638-639

#’s 10-26 all

#’s 29-42 all

Lesson Check 12-6