By making a list, you know there are 6 combinations that include a jumbo drink. Same for large & med...
Download
1 / 30

# of combinations - PowerPoint PPT Presentation


  • 108 Views
  • Uploaded on

By making a list, you know there are 6 combinations that include a jumbo drink. Same for large & medium. 6*3=18, so 18 possible outcomes. 3 sizes of drinks. # of combinations. Finding Sample Spaces with Tree Diagrams A sample space is a list of all possible outcomes of an experiment.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about '# of combinations' - amato


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
Of combinations

By making a list, you know there are 6 combinations that include a jumbo drink. Same for large & medium.

6*3=18, so 18 possible outcomes

3 sizes of drinks

# of combinations


Of combinations

Finding Sample Spaces with Tree Diagrams include a jumbo drink. Same for large & medium.

Asample space is a list of all possible outcomes of an experiment.

If we rolled a die, the sample space would be 1,2,3,4,5, and 6.

How can we organize a sample space if more than one event occurs?


Of combinations

Tree Diagram include a jumbo drink. Same for large & medium.

Atree diagram is a organizational tool we can use to find a sample space.

Kardashian is going to have two children. What are all the possible 
combinations of boys and girls she can get? (sample space)


Of combinations

What shall I wear? include a jumbo drink. Same for large & medium.

Jennifer has 3 skirts and 2 tops.

How many different outfits could she wear?


Of combinations

Make an organized list include a jumbo drink. Same for large & medium.

Skirt

Top

Red

Pink

Skirt

Top

Brown

Red

Red

Pink

Red

Brown

Blue

Pink

Blue

Pink

Blue

Brown

Blue

Brown

Green

Pink

Green

Pink

Green

Brown

Green

Brown


Of combinations

Make a tree diagram include a jumbo drink. Same for large & medium.

P

P

P

R

B

R

B

B

P

B

B

B

P

P

G

B

B

There are 6 outfit choices.


Of combinations

How many outfit choices now? include a jumbo drink. Same for large & medium.


Of combinations

Solution include a jumbo drink. Same for large & medium.

There are 12 outfit choices.


Of combinations

Calculating the total number of outcomes include a jumbo drink. Same for large & medium.


Of combinations

Find the total number of outcomes include a jumbo drink. Same for large & medium.

Flip a coin and roll a dice

6 x 2 = 12

Spin the spinner, roll a dice

6 x 8 = 48

Roll two six-sided dice

6 x 6 = 36


Of combinations

How many different dinner choices are there? include a jumbo drink. Same for large & medium.

Plates

Desserts

Sides

Onion Soup

Steak tips

Ice Cream

Greek salad

Canolis

Chicken Pie

French Fries

Lasagne

Cheeseburger

Burritos

You must choose 1 side, 1 plate and 1 dessert

3 x 5 x 2 = 30


Of combinations

What are all of the possible outcomes when you flip two coins?

Outcomes

H

T

You may not need

all the boxes!

Make a tree diagram and an organized list


Of combinations

Sample space coins?

Outcomes

H

H

T

H

T

T

4 (2 x 2)

How many possible outcomes are there?

How many outcomes include flipping at least one head?

3

What is the probability of flipping at least one head?

3

(0.75 or 75%)

4



Of combinations

Solution number?

1

1

2

2

4

3

Red

3

4

?

How many outcomes?

12

1

2

Blue

How many outcomes

with green and an odd

number?

?

2

3

4

1

Probability of green and

an odd number occurring?

2

Green

2

1

3

?

?

or

12

6

4


Of combinations

Independent events number?

2

1

4

3

No

If you spin a green on Spinner 1, does this affect what 
you spin on Spinner 2?

Independent events: the outcome of one event does not 
affect the outcome of another. If two events are independent, 
to find the probability of them both occurring, multiply the 
probabilities of the individual events occurring.

For example, probability of spinning a blue and spinning a 2:

1

4

1

12

1

P(Blue and 2) =

=

3


Of combinations

Flip a coin and roll a dice number?

What is the probability of flipping a tail and rolling a 5?

?

Total # outcomes

12

Click to reveal the total number of 
outcomes and then use the Fill Tool 
to shade the cells where the outcome 
of the coin flip is a tail and the outcome of the dice roll is a 5.

=

P(Tail and 5) =

(

1

1

1

(

P(Tail and 5) =

12

2

6


Of combinations

Flip a coin and roll a dice number?

What is the probability of flipping a head and rolling a factor of 6?

?

Total # outcomes

12

Click to reveal the total number of 
outcomes and then use the Fill Tool to 
shade the cells where the outcome of 
the coin flip is a head and the outcome of the dice roll is a factor of 6.

=

P(Head and Factor of 6) =

(

1

1

4

(

P (H and F6) =

3

2

6


Of combinations

Picking a ball from each jar number?

What's the probability of picking a red ball 
from jar 1 and a green ball from jar 2?

1

1

1

2

=

=

4

5

10

2

What's the probability of picking a yellow 
ball from jar 1 and a yellow ball from jar 2?

1

2

3

3

=

=

5

4

10

2


Of combinations

True or false? number?

The first four questions of the math test are "True/False"

type questions. Jason has not studied for the test and so he 
guesses the answers. What is the probability he guesses the 
correct answer for all four questions?

P(False) =

P(True) =

P(all answers are True) =

1

2

1

2

1

2

1

2

1

16

or 0.0625

=


Of combinations

What is the sample space, if we rolled the die and spun a spinner that 
had the colors orange, purple, green and red?


Of combinations

http://studyjams.scholastic.com/studyjams/jams/math/probability/tree-diagrams.htmhttp://studyjams.scholastic.com/studyjams/jams/math/probability/tree-diagrams.htm


Of combinations

OUTCOMEhttp://studyjams.scholastic.com/studyjams/jams/math/probability/tree-diagrams.htm

FLAVOR

Set of all possible outcomes = sample space

ACG, AGC, CAG, CGA, GAC, GCA.

CONE

Outcome column shows sample space

3 types of crust

6 toppings


Of combinations

as a fractionhttp://studyjams.scholastic.com/studyjams/jams/math/probability/tree-diagrams.htm

as a percent

as a decimal


Of combinations

7-5http://studyjams.scholastic.com/studyjams/jams/math/probability/tree-diagrams.htm

Grade:

«grade»

«subject»

Subject:

«date»

Date:


Of combinations

1http://studyjams.scholastic.com/studyjams/jams/math/probability/tree-diagrams.htm


Of combinations

2http://studyjams.scholastic.com/studyjams/jams/math/probability/tree-diagrams.htm


Of combinations

3http://studyjams.scholastic.com/studyjams/jams/math/probability/tree-diagrams.htm