Do Now 4/6/11Do Now 4/6/11 Take out HW from yesterday.Take out HW from yesterday.

Textbook page 309, #3-7 all, 11a & b, 17 & 18Textbook page 309, #3-7 all, 11a & b, 17 & 18

Copy HW in your planner.Copy HW in your planner. Practice worksheet 6.7, #1-14 allPractice worksheet 6.7, #1-14 all Practice worksheet 6.8, #1-12 allPractice worksheet 6.8, #1-12 all Quiz sections 6.5, 6.7, 6.8 FridayQuiz sections 6.5, 6.7, 6.8 Friday

In your notebook, find the probabilities using

the spinner at the right.

4

1

8

2

8

3

1

2

3

45

6

7

8

P(1 or 2) =

P(even) =

P(1-8) =

P(factor of 6) =

P(9) =

2

1

8

4

2

1

8

4

18

8

08

0 P(less than 4) =

HomeworkHomework Textbook page 309, #3-7 all, 11a & b, 17 & 18 Textbook page 309, #3-7 all, 11a & b, 17 & 18

3) 1/2 4) 1/2 5) 2/3 6) 11/15

about 268 days 7) 1/4

11a) 2/11 11b) 5/11 17) 16/143, or about 0.1119 18) 1/240 or about 0.0042

Objective

SWBAT find the odds of an event.

Experimental probability-Experimental probability-performing an experiment and testing performing an experiment and testing data. data.

Section 6.7 “Probability and Odds”Section 6.7 “Probability and Odds”

Theoretical probability-Theoretical probability-mathematically tells you how likely it is mathematically tells you how likely it is that an event will happen.that an event will happen.

“Probability of an Event”

outcomesofTotal

outcomesfavorableofP

#

#

Odds Odds the ratio of the number of outcomes to outcomes.the ratio of the number of outcomes to outcomes.

Odds in favor =Odds in favor =

Section 6.7 “Probability and Odds”Section 6.7 “Probability and Odds”

Two types of odds:Two types of odds:

outcomeseunfavorablof

outcomesfavorableof

#

#

Odds against =Odds against =outcomesfavorableof

outcomeseunfavorablof

#

#

Odds in favor = # of favorable outcomes : # of unfavorable outcomes

Odds against = # of unfavorable outcomes : # of favorable outcomes

MATHEMATICALMATHEMATICALEach letter of the word above is written on a separate piece of paper and placed in a hat. A letter is chosen at random from the hat.

What are the odds in favor of choosing a consonant?

What are the odds against choosing a ‘M, A, T, or H’?

7 : 5

4 : 8 1 : 2

““What are the Odds?”What are the Odds?”

Probability & Odds Probability & Odds

Compares outcomes to outcomes.

Compares favorable outcome to the TOTAL number of outcomes.

outcomesofTotal

outcomesfavorableofP

#

# Odds in favor =Odds in favor =

outcomeseunfavorablof

outcomesfavorableof

#

#

Odds against =Odds against =outcomesfavorableof

outcomeseunfavorablof

#

#

Objective

SWBAT use the counting principle to find probabilities

Roll the dice...Roll the dice... Suppose you are rolling a two 6-sided number cubes and Suppose you are rolling a two 6-sided number cubes and

finding the sum of the rolls. finding the sum of the rolls.

What is the probability that you What is the probability that you will roll a 7?will roll a 7?

What is the probability that you will What is the probability that you will roll a prime number? a composite roll a prime number? a composite number?number?

11 22 33 44 55 66

11 22 33 44 55 66 77

22 33 44 55 66 77 88

33 44 55 66 77 88 99

44 55 66 77 88 99 1010

55 66 77 88 99 1010 1111

66 77 88 99 1010 1111 1212

outcomesofTotal

outcomesfavorableofP

#

#

6

1

36

6P

outcomesofTotal

outcomesfavorableofP

#

#

12

5

36

15P

outcomesofTotal

outcomesfavorableofP

#

#

12

7

36

21P

You are buying new eyeglasses and must choose You are buying new eyeglasses and must choose the frame material and shape. The frame can be either the frame material and shape. The frame can be either plastic or metal. The shape can be rectangular, oval, cat’s plastic or metal. The shape can be rectangular, oval, cat’s eye, or round. How many different frames are possible?eye, or round. How many different frames are possible?

plasticplastic

metalmetal

rectangularrectangular

ovaloval

cat’s eyecat’s eye

roundround

rectangularrectangular

ovaloval

cat’s eyecat’s eye

roundround

One way to count the One way to count the number of possibilities is number of possibilities is to use a to use a TREE DIAGRAMTREE DIAGRAM..

There are There are 88 different different frame types. frame types.

What if the frames come in different colors. They can be either What if the frames come in different colors. They can be either black, red, green, or blue. How many different frames are possible black, red, green, or blue. How many different frames are possible now?now?

plasticplastic

blackblack

rectangularrectangular

ovaloval

cat’s eyecat’s eye

roundround

There are There are 3232 different different frame types. frame types.

metalmetal

rectangularrectangular

ovaloval

cat’s eyecat’s eye

roundround

plasticplastic

redred

rectangularrectangular

ovaloval

cat’s eyecat’s eye

roundround

metalmetal

rectangularrectangular

ovaloval

cat’s eyecat’s eye

roundround

plasticplastic

greengreen

rectangularrectangular

ovaloval

cat’s eyecat’s eye

roundround

metalmetal

rectangularrectangular

ovaloval

cat’s eyecat’s eye

roundround

plasticplastic

blueblue

rectangularrectangular

ovaloval

cat’s eyecat’s eye

roundround

metalmetal

rectangularrectangular

ovaloval

cat’s eyecat’s eye

roundround

The early bird menu at TGIFriday’s for lunch consists of 3 entrees and The early bird menu at TGIFriday’s for lunch consists of 3 entrees and 2 desserts. How many different lunch combinations can you get? 2 desserts. How many different lunch combinations can you get?

Make a tree diagram: Make a tree diagram:

E1E1 E2E2 E3E3

D1D1 D2D2 D1D1 D2D2 D1D1 D2D2

E1D1 E1D2 E2D1 E2D2 E3D1 E3D2E1D1 E1D2 E2D1 E2D2 E3D1 E3D2

6 lunch combinations6 lunch combinations

Use the Counting Principle: Use the Counting Principle:

(3 entrees) x (2 desserts)(3 entrees) x (2 desserts)

= 6 lunch combination= 6 lunch combination

Section 6.8 “The Counting Principle”Section 6.8 “The Counting Principle”

If one event can occur in If one event can occur in mm ways and ways and another event can occur in another event can occur in nn ways, then ways, then the two events can occur in the two events can occur in mmnn ways. ways.

You spin each spinner once. Find the probability You spin each spinner once. Find the probability that all three spinners stop on the number 2?that all three spinners stop on the number 2?

1

23

4

1

2

3

45

6

7

8

Use the counting principle Use the counting principle to find the total number of to find the total number of possible outcomes. possible outcomes.

Spinner 1 = 8 outcomesSpinner 1 = 8 outcomes

Use the Counting Principle with Probabilities Use the Counting Principle with Probabilities

1

2

3

4

5

Spinner 2 = 5 outcomesSpinner 2 = 5 outcomes Spinner 3 = 4 outcomesSpinner 3 = 4 outcomes

The total amount of outcomes is The total amount of outcomes is 8 x 5 x 4 = 160. 8 x 5 x 4 = 160.

The probability that all three spinners stop on the number 2 The probability that all three spinners stop on the number 2 is 1/160. is 1/160.

Guess the Password? You forgot your password to get into your

email. You remember that it is 3 upper-case letters and 3 numbers. What is your probability of guessing it correctly?

26 outcomes 26 outcomes 26 outcomes 10 outcomes 10 outcomes 10 outcomes

A B C 1 2 3

The total outcomes would be 17,576,000.

The probability would be 1 : 17,576,000.

NJASK7 Prep

Homework

Practice worksheets 6.7 & 6.8