1. Do Now 5/21/13 Take out HW from last night. Text p. 408, #1-16
Copy HW in your planner.
Text p. 416, #4-7 all
Text p. 420, #6-23 all
Quiz sections Friday

2. Homework Text p. 408, #1-16
10) Since Tim rarely watches more than 30 minutes of TV, it is not likely that he is watching TV at 5:00 P.M.
11) as likely as not
12) impossible
13) certain
14) as likely as not
15) not likely
16) purple flowers because the probability of selecting purple is 700/900 compared to white which is 200/900
1) unlikely
2) impossible
3) 5/6
4) likely
5) certain
6) as likely as not
7) unlikely
8) 2/3
9) 2/5

3. Homework Text p. 412, #3-10 3) 13/30, ≈0.43, ≈ 43% 4) 8/15
3) 13/30, ≈0.43, ≈ 43%
4) 8/15
5) a). 9/14;
b). 5/14
6) 2/5
7) 16/25
8) 2/5
9) 3/11, ≈27%
10) a) inches
b). 0
c). 1/5

4. Learning Goal
SWBAT use counting methods to determine possible outcomes

5. Section 10.3 “Sample Spaces”
all the possible outcomes of an experiment.

6. 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

7. 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

8. Fundamental Counting Principle-
states that you can find the total number of outcomes for two or more experiments by multiplying the number of outcomes for each separate experiment.
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. What if the frames come in different colors. They can be either black, red, green, or blue. How many different frames are possible now?
Frame 2
Shape 4
Color 4 x x
= 32 possibilities

9. Fundamental Counting Principle:
The early bird menu at TGIFriday’s for lunch consists of 3 entrees and 2 desserts. What are the possible lunch combinations? How many different lunch combinations can you get?
Make a tree diagram:
Fundamental 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

10. Fundamental Counting Principle:
A spinner is divided into fourths and numbered 1 through 4. Ralph spins the spinner and tosses a coin. What are all of the possible outcomes? How many outcomes are in the sample space?
Make a tree diagram:
Fundamental Counting Principle: 1 2 3 4
(4 spins) x (2 coins)
= 8 outcomes H T H T H T H T
1H 1T 2H 2T 3H 3T 4H 4T

11. Roll the dice...
Suppose you are rolling two 6-sided number cubes. How many outcomes are in the sample space? What are the possible outcomes if you are finding the sum of the rolls? 1 2 3 4 5 6 7 8 9 10 11 12
Use the counting principle. There are 6 outcomes on one dice and 6 outcomes on the second dice.
6 x 6 = 36 outcomes

12. You spin each spinner once. How many outcomes are possible?
Use the Counting Principle with Probabilities
You spin each spinner once. How many outcomes are possible?
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.

13. Learning Goal 2
SWBAT find the theoretical probability of an event

14. Section 10.2 “Experimental Probability”
Remember this???
Experimental probability-
comparing the number of times the event occurs to the number of trials

15. Section 10.4 “Theoretical Probability”
finding the probability of an event when all outcomes are equally likely.
If each possible outcome of an experiment is equally likely, then the experiment is said to be
FAIR

16. Rolling a number greater than 2 on a fair number cube
Find the probability of each event. Write your answer as a fraction, percent, and decimal (rounded to the nearest hundredth).
Rolling a number greater than 2 on a fair number cube
Randomly choosing an orange chip from a bag of 14 green chips, 4 blue chips, and 12 orange chips

17. “Roll the Dice”
Suppose you are rolling a two fair number cubes and finding the sum of the rolls. Find the probabilities as a fraction, percent and decimal (rounded to the nearest hundredth).
Sample space 1 2 3 4 5 6 7 8 9 10 11 12
What is the probability that you will roll a 7?
What is the probability that you will roll a prime number?

18. “Pick a Card”
Suppose you are randomly choosing cards from a shuffled deck of 52 cards with 13-card suits: diamonds, hearts, clubs, and spades. (Round your answers to the nearest hundredth if necessary).
What is the probability that you choose a 7 of hearts or diamonds?
What is the probability that you will pick a King, Queen, Jack, or Ace?

19. Homework
Text p. 416, #4-7 all
Text p. 420, #6-23 all