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Day 11 new Tree Diagrams & BCP.notebook March 15, 2019 March 15, 2019 Aim : SWBAT find the possible outcomes in a sample space by drawing a tree diagram and by using the Basic Counting Principle. Do Now : At the top of Page 56 in your Unit 9 Packet. Homework : Pages 60-61 in the Unit 9 Packet Unit 9 ~ Test is Tuesday

Aim: SWBAT find the possible outcomes in a sample space by ...€¦ · Day 11 new Tree Diagrams & BCP.notebook March 15, 2019 March 15, 2019 Aim: SWBAT find the possible outcomes

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Page 1: Aim: SWBAT find the possible outcomes in a sample space by ...€¦ · Day 11 new Tree Diagrams & BCP.notebook March 15, 2019 March 15, 2019 Aim: SWBAT find the possible outcomes

Day 11 new ­ Tree Diagrams & BCP.notebook March 15, 2019

March 15, 2019

Aim: SWBAT find the possible outcomes in a sample space by drawing a tree diagram and by using the Basic Counting Principle.

Do Now: At the top of Page 56 in your Unit 9 Packet.

Homework: Pages 60-61 in the Unit 9 Packet

Unit 9 ~ Test is Tuesday

Page 2: Aim: SWBAT find the possible outcomes in a sample space by ...€¦ · Day 11 new Tree Diagrams & BCP.notebook March 15, 2019 March 15, 2019 Aim: SWBAT find the possible outcomes

Day 11 new ­ Tree Diagrams & BCP.notebook March 15, 2019

You are not replacing the first button so what you pick the first time DOES affect what you can pick the second time.

1 21

10 21

2 20

P (red, yellow) =

P (yellow, blue)

P (black, black)

P (red, green)

5 20

2 21

10 21

0 20

4 21

3 20

1 42

1 35

0 (impossible)**Since there are NO green buttons in the bag, it is impossible.

=

=

=

What a person chooses for their meal does not affect on their drink choice.

1 20

1 4

1 5 =P (chef's salad, juice)

Page 3: Aim: SWBAT find the possible outcomes in a sample space by ...€¦ · Day 11 new Tree Diagrams & BCP.notebook March 15, 2019 March 15, 2019 Aim: SWBAT find the possible outcomes

Day 11 new ­ Tree Diagrams & BCP.notebook March 15, 2019

What you get when you toss a coin does not affect what you get when you roll a die.

1 12

= 1 2

1 6

P (heads, 3)

What you get when you toss a coin does not affect what you get when you roll a die.

You are not replacing the first roll so what you pick the first time DOES affect what you can pick the second time.

2 21

8 28

9 27 =P (sesame, cheese)

1 14

9 28

6 27 =P (cheese, sourdough)

10 189

= 5 28

8 27P (wheat, sesame)

5 189

5 28

4 27 =P (wheat, wheat)

1 6

= 1 2

2 6

P (heads, # greater than 4)

Page 4: Aim: SWBAT find the possible outcomes in a sample space by ...€¦ · Day 11 new Tree Diagrams & BCP.notebook March 15, 2019 March 15, 2019 Aim: SWBAT find the possible outcomes

Day 11 new ­ Tree Diagrams & BCP.notebook March 15, 2019

Page 5: Aim: SWBAT find the possible outcomes in a sample space by ...€¦ · Day 11 new Tree Diagrams & BCP.notebook March 15, 2019 March 15, 2019 Aim: SWBAT find the possible outcomes

Day 11 new ­ Tree Diagrams & BCP.notebook March 15, 2019

1st Die 2nd Die

2     2

1     4

1     5

1     6

2     3

2     4

2     5

2     6

3     3

3     1

3     2

3     4

3     5

3     6

4     1

4     2

4     3

4     4

4     5

4     6

5     1

5     2

5     3

5     4

5     5

5     6

6     1

6     2

6     3

6     4

6     5

6     6

36

84 2

Page 6: Aim: SWBAT find the possible outcomes in a sample space by ...€¦ · Day 11 new Tree Diagrams & BCP.notebook March 15, 2019 March 15, 2019 Aim: SWBAT find the possible outcomes

Day 11 new ­ Tree Diagrams & BCP.notebook March 15, 2019

8

Page 7: Aim: SWBAT find the possible outcomes in a sample space by ...€¦ · Day 11 new Tree Diagrams & BCP.notebook March 15, 2019 March 15, 2019 Aim: SWBAT find the possible outcomes

Day 11 new ­ Tree Diagrams & BCP.notebook March 15, 2019

cupbowl

cupbowlcupbowlcupbowl

Add down the right columnto find the total number

of outcomes

8

cup of tomato soup bowl of tomato soupcup of onion soup

cup of chicken soupcup of vegetable soup

bowl of onion soupbowl of chicken soup

bowl of vegetable soup

46

3bowl of onion soupbowl of chicken soupbowl of vegetable soup

Page 8: Aim: SWBAT find the possible outcomes in a sample space by ...€¦ · Day 11 new Tree Diagrams & BCP.notebook March 15, 2019 March 15, 2019 Aim: SWBAT find the possible outcomes

Day 11 new ­ Tree Diagrams & BCP.notebook March 15, 2019

Page 9: Aim: SWBAT find the possible outcomes in a sample space by ...€¦ · Day 11 new Tree Diagrams & BCP.notebook March 15, 2019 March 15, 2019 Aim: SWBAT find the possible outcomes

Day 11 new ­ Tree Diagrams & BCP.notebook March 15, 2019

fruitsizex 33

yogurt2x

18

Smallboth

strawberriesmango

yogurtno yogurt

Medium

Large

both

strawberriesmango

both

strawberriesmango

yogurtno yogurt

yogurtno yogurt

yogurtno yogurt

yogurtno yogurtyogurtno yogurt

yogurtno yogurt

yogurtno yogurt

yogurtno yogurt

small with strawberries & yogurtsmall with both fruits & yogurtmedium with strawberries & yogurtmedium with both fruits & yogurtlarge with strawberries & yogurtlarge with both fruits & yogurt

6 18

1 3

or

Page 10: Aim: SWBAT find the possible outcomes in a sample space by ...€¦ · Day 11 new Tree Diagrams & BCP.notebook March 15, 2019 March 15, 2019 Aim: SWBAT find the possible outcomes

Day 11 new ­ Tree Diagrams & BCP.notebook March 15, 2019

Page 11: Aim: SWBAT find the possible outcomes in a sample space by ...€¦ · Day 11 new Tree Diagrams & BCP.notebook March 15, 2019 March 15, 2019 Aim: SWBAT find the possible outcomes

Day 11 new ­ Tree Diagrams & BCP.notebook March 15, 2019

Whiteno meat

turkey

ham

swissamericancheddar

no cheeseswissamericancheddar

no cheeseswissamericancheddar

no cheese

Wheatno meat

turkey

ham

swissamericancheddar

no cheeseswissamericancheddar

no cheeseswissamericancheddar

no cheese 24

8 24

1 3

or

6 24

1 4

or

Page 12: Aim: SWBAT find the possible outcomes in a sample space by ...€¦ · Day 11 new Tree Diagrams & BCP.notebook March 15, 2019 March 15, 2019 Aim: SWBAT find the possible outcomes

Day 11 new ­ Tree Diagrams & BCP.notebook March 15, 2019

Page 13: Aim: SWBAT find the possible outcomes in a sample space by ...€¦ · Day 11 new Tree Diagrams & BCP.notebook March 15, 2019 March 15, 2019 Aim: SWBAT find the possible outcomes

Day 11 new ­ Tree Diagrams & BCP.notebook March 15, 2019

Page 14: Aim: SWBAT find the possible outcomes in a sample space by ...€¦ · Day 11 new Tree Diagrams & BCP.notebook March 15, 2019 March 15, 2019 Aim: SWBAT find the possible outcomes

Day 11 new ­ Tree Diagrams & BCP.notebook March 15, 2019

Hot doglemonade

sodamilk

puddingice creampuddingice creampudding

ice creampuddingice creampudding

ice creampuddingice creampudding

ice creampuddingice creampudding

ice cream

Salad

Pizza

lemonade

sodamilk

lemonade

sodamilk

18drinkmeal

x3 3dessert

2 x

6 18

1 3

or 6 18

1 3

or 9 18

1 2

or

3 18

1 6

or

2 18

1 9

or

Page 15: Aim: SWBAT find the possible outcomes in a sample space by ...€¦ · Day 11 new Tree Diagrams & BCP.notebook March 15, 2019 March 15, 2019 Aim: SWBAT find the possible outcomes

Day 11 new ­ Tree Diagrams & BCP.notebook March 15, 2019

drinkbreadx2 3

x

= 6 choices 1st toss

2nd toss

3rd toss

4th toss

x x x6 6 6 6

= 1296 outcomes

vegmealx 23

drink3

= 18 choices

xfruitmeal

x 43drink

2

= 24 choices

xslacksshirt

x 34ties2

= 24 choices

1st toss

2nd toss

3rd toss

4th toss

x x x2 2 2 2

= 32 outcomes

5th toss

2x

spinner#1

x2 3 x4 5 = 120 outcomesspinner

#2spinner

#3spinner

#4

x