Download Find Possible Outcomes - MathCoach Interactive

SDAP*63D
2.1 Represent
all possible outcomes for a simple probability
&&66
'HYHORSDXQLIRUPSUREDELOLW\PRGHOE\DVVLJQLQJHTXDOSUREDELOLW\
WRDOORXWFRPHVDQGXVHWKHPRGHOWRGHWHUPLQHSUREDELOLWLHVRIHYHQWV)RUH[DPSOHLID
situation in an organized way (e.g., tables, grids, tree diagrams).
VWXGHQWLVVHOHFWHGDWUDQGRPIURPDFODVV¿QGWKHSUREDELOLW\WKDW-DQHZLOOEHVHOHFWHG
DQGWKHSUREDELOLW\WKDWDJLUOZLOOEHVHOHFWHG
UNDERLYING SKILLS AND CONCEPTS:
organize data
Find Possible Outcomes
Probability measures whether an outcome will be likely or unlikely.
a
K
ey Ide
First you need to decide what the possible outcomes are.
You can use an organized list to show all possible outcomes in a
given situation.
A tree diagram is another way to show all of the outcomes.
E x am p l E
1
What are the possible outcomes if you
flip a coin and spin the spinner?
E x am p l E
2
You can make a tree diagram to show
the same information.
Gray
Striped
heads
Checkered
Make an organized list.
Coin
heads
heads
heads
tails
tails
tails
and
and
and
and
and
and
and
Spinner
gray
striped
checkered
gray
striped
checkered
gray
striped
checkered
gray
tails
striped
checkered
Count the twigs on the tree diagram.
There are 6 possible outcomes.
Each outcome is equally likely.
There are 6 different outcomes.
Each outcome is equally likely.
page 374
Chapter 32 – Lesson 1
D – © CSL Associates, Inc. All rights reserved.
Coin and Spinner
Outcomes
Outcomes
Name
P RAC T I C E
Make an organized list. How many different outcomes are possible?
1. A bag holds 1 red, 1 blue, 1 green,
and 1 yellow marble.
You pick one marble and flip a
coin. How many different
outcomes are possible?
Outcomes
Marble
Penny
8
Make a tree diagram. How many different outcomes are possible?
2. You toss 2 number cubes.
Cube A is numbered 1–6.
Cube B is numbered 1–6.
Cube
A
Cube
B
D – © CSL Associates, Inc. All rights reserved.
36
3. If you multiply the two numbers,
which product are you more likely
to toss, 12 or 36? Why?
12 is more likely because
there are 4 ways to toss a
12, but there is only 1 way
to toss a 36.
Math
Reasoning
Data Analysis
MR 1.1
4. Suppose you spin this spinner many times.
Which number would you probably spin most often?
How did you decide?
5. There are 6 equal sections. 3 of them
have a 5. So, half the spinner shows 5.
Chapter 32 – Lesson 1
5
4
2
5
5
3
page 375
MCX94.HW.CL.G4.FM&Lesson.v211
8/2/04
19:17
Page 250
Name
…at home!
P RAC T I C E
Make an organized list. How many different outcomes are possible?
1. A bag holds 1 red, 1 blue, 1 green,
1 yellow, and 1 purple marble.
You pick one marble and flip a
coin. How many different
outcomes are possible?
Outcomes
Marble
Penny
10
Make a tree diagram. How many different outcomes are possible?
2. You toss 2 number cubes.
Cube A is numbered 1–6.
Cube B is numbered 1–6.
Cube
A
Cube
B
3. If you multiply the two numbers,
which product are you more likely
to toss, 10 or 36? Why?
10 is more likely because
there are 2 ways to toss a
10, but there is only 1 way
to toss a 36.
Math
Reasoning
Data Analysis
MR 1.1
4. Suppose you spin this spinner many times.
Which number would you probably spin most often?
How did you decide?
4. There are 6 equal sections. 2 of them
have a 4. So, one third of the spinner shows 4.
page 250
Home Resource and Homework
5
4
2
6
4
3
Chapter 32 Lesson 1
D – © CSL Associates, Inc. All rights reserved.
36
MCX94TEG4Ch01_32.v8.5.2 2/26/01 19:07 Page 689
Name
P RAC T I C E
Make an organized list. How many different outcomes are possible?
1. A bag holds 1 red, 1 blue, 1 green,
and 1 yellow marble.
You pick one marble and flip a
coin. How many different
outcomes are possible?
Outcomes
Marble
red
red
blue
blue
green
green
yellow
yellow
8
Penny
heads
tails
heads
tails
heads
tails
heads
tails
Make a tree diagram. How many different outcomes are possible?
2. You toss 2 number cubes.
Cube A is numbered 1–6.
Cube B is numbered 1–6.
Cube
A
D – © CSL Associates, Inc. All rights reserved.
36
Cube
B
1
1
2
3
4
5
6
2
1
2
3
4
5
6
3. If you multiply the two numbers,
which product are you more likely
to toss, 12 or 36? Why?
12 is more likely because
there are 4 ways to toss a
12, but there is only 1 way
to toss a 36.
Math
Reasoning
3
1
2
3
4
5
6
4
1
2
3
4
5
6
5
1
2
3
4
5
6
6
1
2
3
4
5
6
Data Analysis
MR 1.1
4. Suppose you spin this spinner many times.
Which number would you probably spin most often?
How did you decide?
5. There are 6 equal sections. 3 of them
have a 5. So, half the spinner shows 5.
Chapter 32 – Lesson 1
Student Book Page
5
4
2
5
5
3
page 375
Name
…at home!
P RAC T I C E
Make an organized list. How many different outcomes are possible?
1. A bag holds 1 red, 1 blue, 1 green,
1 yellow, and 1 purple marble.
You pick one marble and flip a
coin. How many different
outcomes are possible?
Outcomes
Marble
red
red
blue
blue
green
green
yellow
yellow
purple
purple
10
Penny
heads
tails
heads
tails
heads
tails
heads
tails
heads
tails
Make a tree diagram. How many different outcomes are possible?
36
Cube
A
1
1
2
3
4
5
6
2
1
2
3
4
5
6
3. If you multiply the two numbers,
which product are you more likely
to toss, 10 or 36? Why?
10 is more likely because
there are 2 ways to toss a
10, but there is only 1 way
to toss a 36.
Math
Reasoning
Cube
B
3
1
2
3
4
5
6
4
1
2
3
4
5
6
6
1
2
3
4
5
6
Data Analysis
MR 1.1
4. Suppose you spin this spinner many times.
Which number would you probably spin most often?
How did you decide?
4. There are 6 equal sections. 2 of them
have a 4. So, one third of the spinner shows 4.
page 250
5
1
2
3
4
5
6
Home Resource and Homework
5
4
2
6
4
3
Chapter 32 Lesson 1
D – © CSL Associates, Inc. All rights reserved.
2. You toss 2 number cubes.
Cube A is numbered 1–6.
Cube B is numbered 1–6.