1. Do Now 3/17/11 Take out HW from last night. Copy HW in your planner.
Text p. 309, #7-11 all, 17 & 18
Copy HW in your planner.
Text p. 315 #7-16 all
Quiz sections Tuesday
On a piece of paper, answer the following question. Suppose you are rolling two 6-sided number cubes and finding the sum of the rolls. What is the probability of you rolling 6, 7, or 8?

2. Roll the dice...
Suppose you are rolling a two 6-sided number cubes and finding the sum of the rolls.
How many ways can you can get a 6, 7, or 8? 1 2 3 4 5 6 7 8 9 10 11 12
You can get a 6, 7, or 8, 16 different ways.

3. Homework Textbook p. 309, #7-11 all, 17 & 18
7) 1/4
8) 1 to 3
9) 3 to 1
10) about 12 or 13 times
11) a) 2/11
b) 5/11
c) 6 to 5
d) RIVER
17)
18)

4. Objective
SWBAT use the counting principle to find probabilities

5. Section 6.7 “Probability and Odds”
Experimental probability-
performing an experiment and testing data.
Theoretical probability-
mathematically tells you how likely it is that an event will happen.

6. Roll the dice...
Suppose you are rolling a two 6-sided number cubes and finding the sum of the rolls.
What is the probability that you will roll a 7? 1 2 3 4 5 6 7 8 9 10 11 12
What is the probability that you will roll a prime number? a composite number?

7. One way to count the number of possibilities is to use a TREE DIAGRAM.
You are buying new eyeglasses and must choose the frame material and shape. The frame can be either plastic or metal. The shape can be rectangular, oval, cat’s eye, or round. How many different frames are possible?
rectangular
oval
One way to count the number of possibilities is to use a TREE DIAGRAM.
plastic
cat’s eye
round
rectangular
There are 8 different frame types.
metal
oval
cat’s eye
round

8. There are 32 different frame types.
What if the frames come in different colors. They can be either black, red, green, or blue. How many different frames are possible now?
rectangular
rectangular
oval
oval
plastic
plastic
cat’s eye
cat’s eye
round
round
green
black
rectangular
rectangular
oval
oval
metal
metal
cat’s eye
cat’s eye
There are 32 different frame types.
round
round
rectangular
rectangular
oval
oval
plastic
plastic
cat’s eye
cat’s eye
round
round
red
blue
rectangular
rectangular
oval
oval
metal
metal
cat’s eye
cat’s eye
round
round

9. Section 6.8 “The Counting Principle”
If one event can occur in m ways and another event can occur in n ways, then the two events can occur in mn ways.
The early bird menu at TGIFriday’s for lunch consists of 3 entrees and
2 desserts. How many different lunch combinations can you get?
Make a tree diagram:
Use the Counting Principle: E1 E2 E3
(3 entrees) x (2 desserts)
= 6 lunch combination D1 D2 D1 D2 D1 D2
E1D1 E1D2 E2D1 E2D2 E3D E3D2
6 lunch combinations

10. Section 6.8 “The Counting Principle”
If one event can occur in m ways and another event can occur in n ways, then the two events can occur in mn ways.
The dinner menu at TGIFriday’s consists of 5 appetizers, 14 entrees, and
3 desserts. How many different dinner combinations can you get?
Use the Counting Principle:
Make a tree diagram:
(5 appetizers) x (14 entrees) x (3 desserts)
= 210 different dinner combinations

11. Use the Counting Principle with Probabilities
You spin each spinner once. Find the probability that all three spinners stop on the number 2?
Use the counting principle to find the total number of possible outcomes.
Spinner 1 = 8 outcomes
Spinner 2 = 5 outcomes
Spinner 3 = 4 outcomes
The total amount of outcomes is 8 x 5 x 4 = 160.
The probability that all three spinners stop on the number 2 is 1/160.

12. Use the Counting Principle with Probabilities
You spin each spinner once. Find the probability that all three spinners stop on the same number?
Use the counting principle to find the total number of possible outcomes.
Spinner 1 = 8 outcomes
Spinner 2 = 5 outcomes
Spinner 3 = 4 outcomes
The total amount of outcomes is 8 x 5 x 4 = 160.
All three spinners share 1, 2, 3, & 4, so there are 4 favorable outcomes.
The probability that all three spinners stop on the same number is 4 out of 160 which is 1/40.

13. NJASK7 Prep
Homework
Textbook page 315, #7-16 all

14. Homework Practice worksheet 6.6
1) 96 mi.
2) 204 mi.
3) 300 mi.
4) 504 mi.
5) 6 mi.
6) 9 mi.
7) 4.5 mi.
8) 13.5 mi.
9) 30 mi.
10) 4 cm
11) 9 cm
12) 15 cm
13) 5.5 cm
14) 0.3 cm
15) 0.6 cm
16) 1.2 cm
17) 0.25 cm
18) 0.45 cm
19) 1 : 168
20) 1: 1080
21) 1: 300
22) 1 : 6500
23) 1 : 800,000
24) 1 : 320
25) 360 mi.
26) 1 in. : 8ft.
27) 2 m
28) a). 12 in. b). 360

15. Homework Practice worksheet 6.7
1) theoretical
2) experimental
3) 3/10
4) 1/5
5) 4 to 1
6) 2 to 3
7) 5 times
8) 4/9
9) 1/3
10) 1 to 2
11) 3 to 2
12) 2/3
13) 16/45
14) 37 to 53