2 02 Organising Outcomes of Compound Events Page

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2: 02 Organising Outcomes of Compound Events Page 34

2: 02 Organising Outcomes of Compound Events Page 34

Objectives of learning • Students will be able to: organise the complete sample space

Objectives of learning • Students will be able to: organise the complete sample space of a compound event using: Lists, Tables or Tree diagrams

Khalifa bin zayed School Example : Ali tosses two coins and wants to show

Khalifa bin zayed School Example : Ali tosses two coins and wants to show us all possible outcomes using a list, a table and a tree diagram Abu Dhabi Education Council Name___________ Grade 10 / H : Head and T : Tail Using a list : {(H , T) , ( H { H, T } x { H, T } = , H ) , ( T Using a table , H ) , ( T , T ) H } T H ( H , H ) ( H , T) T (T, H) (T, T )

Tree Diagrams Example • Using a tree diagram. Sample Space H H you could

Tree Diagrams Example • Using a tree diagram. Sample Space H H you could got H get… Now. If you T YOU On the first flip you could get…. . H Now. Ifyou youcould got Tget… T T

For example – 8 coloured balls in a bag – 3 Red, 2 Blue

For example – 8 coloured balls in a bag – 3 Red, 2 Blue , 3 Orange. One taken, colour noted, returned to bag, then a second taken. 1 st 2 nd R B O R RR B RB O R RO BR B BB O R BO OR B OB O OO INDEPENDENT EVENTS

Tree Diagram. Closet Example • Mr. hamad’s 3 Shirts 2 Pairs of Shoes 2

Tree Diagram. Closet Example • Mr. hamad’s 3 Shirts 2 Pairs of Shoes 2 Pants

Dress Mr. • List all of hamad Mr. hamad’s outfits 1 2

Dress Mr. • List all of hamad Mr. hamad’s outfits 1 2

Dress Mr. • List all of hamad Mr. hamad’s outfits 1 2 3 4

Dress Mr. • List all of hamad Mr. hamad’s outfits 1 2 3 4

Dress Mr. • List all of hamad Mr. hamad’s outfits 1 2 3 4

Dress Mr. • List all of hamad Mr. hamad’s outfits 1 2 3 4 5 6

Dress Mr. • List all of hamad Mr. hamad’s outfits 1 2 3 4

Dress Mr. • List all of hamad Mr. hamad’s outfits 1 2 3 4 5 6 7 8

Dress Mr. • List all of hamad Mr. hamad’s outfits 1 2 3 4

Dress Mr. • List all of hamad Mr. hamad’s outfits 1 2 3 4 5 6 7 8 9 10

Dress Mr. • List all of hamad Mr. hamad’s outfits 1 2 3 4

Dress Mr. • List all of hamad Mr. hamad’s outfits 1 2 3 4 5 6 7 8 9 10 11 12

Dress Mr. • List all of hamad Mr. hamad’s outfits 1 2 3 4

Dress Mr. • List all of hamad Mr. hamad’s outfits 1 2 3 4 5 6 7 8 9 10 11 12

Multiplication Rule of Compound Events If… • X = total number of outcomes for

Multiplication Rule of Compound Events If… • X = total number of outcomes for event A • Y = total number of outcomes for event B • Then number of outcomes for A followed x times y by B = _____

Multiplication Rule: Dress Mr. Arnold • Mr. Reed had 3 EVENTS 2 shoes 2

Multiplication Rule: Dress Mr. Arnold • Mr. Reed had 3 EVENTS 2 shoes 2 pants 3 shirts How many outcomes are there for EACH EVENT? 2(2)(3) = 12 OUTFITS

Example: 5 People, 5 Chairs 5 4 3 • The bat mobile has 5

Example: 5 People, 5 Chairs 5 4 3 • The bat mobile has 5 chairs. • There are 5 people who need a lift. • How many seating options are there? 2 1 =120 Seating Options Multiply!! This is a PERMUTATION of 5 objects

Spinner Fly Emirates Gulf-air Qatar airways

Spinner Fly Emirates Gulf-air Qatar airways

Spinner Fly Emirates Fly Dubai Qatar airways

Spinner Fly Emirates Fly Dubai Qatar airways