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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
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