WELCOME
TO
MATH CLASS!
Mathematics
8
4TH
GRADING
LESSON 9
Prepared by: Loida B.
Checking
Of
Attendance
DRILL
1.
2.
3.
4.
5.
−𝟐𝟒
−𝟑
𝟗
Perform the indicated operation.
𝟏𝟐
−𝟕
6.
7.
8.
9.
10.
−𝟐𝟕
−𝟏
𝟓
−𝟏𝟓
−𝟒𝟎
OBJECTIVES
 Define table, tree diagram and
systematic listing.
 Count the Number of Occurrences of an
Outcome in an Experiment using Table,
Tree Diagram and Systematic Listing
Count the Number of Occurrences
of an Outcome in an Experiment
using Table, Tree Diagram and
Systematic Listing
Checking of
Assignment
Table
 Is an arrangement of data in rows
and columns.
Tree Diagram
 Is a device consisting of line segments
emanating from outcome point.
Systematic Listing
 Is a way of writing all the possible
outcomes of a particular event or
experiment.
A B
DEFINITION
Two coins are tossed. Find the sample space using
table, tree diagram and systematic listing.
Solution:
Table Tree Diagram
1
2 H T
H
T
HH TH
HT TT
START
H
T
H
T
T
H
HH
HT
TH
TT
Sample Space
Sample Space
Systematic
Listing
HH
HT
TH
TT
EXAMPLE 1
Tossing a coin and rolling a die . Find the sample
space using table, tree diagram and systematic
listing.
Solution:
Table
Sample Space
EXAMPLE 2
Die
Coin 1 2 3 4 5 6
H
T
H1 H2 H3 H4 H5 H6
T1 T2 T3 T4 T5 T6
TREE DIAGRAM
SOLUTION:
START
H
T
1
2
3
4
5
6
H3
H4
H5
H6
T1
T2
T3
T4
T5
1
2
3
4
5
SYSTEMATIC
LISTING
H1
H2
H3
H4
H5
H6
T1
T2
T3
T4
T5
T6
Sample Space
Lily is trying to decide what to wear.
She has shirts in the following colors:
red, purple, and blue, and she has
pants in the following colors: black
and white. Find the sample space
using table, tree diagram and
systematic listing.
Sample Space
EXAMPLE 3
Table
SOLUTION:
Shirt
Pants
Table
SOLUTION:
START
GROUP
ACTIVITY
GROUP 1, 3 and 5 GROUP 2, 4 and 6
A die is rolled, and a
wheel of vowels
letters is spinned.
Find the sample
space using table,
tree diagram and
systematic listing.
A coin is tossed and a
wheel of a number 1
to 10 is spinned. Find
the sample space
using table, tree
diagram and
systematic listing.
BOARDWORK
Red Ribbon serves two desserts: a
cake and a pie. They also serve
three beverages: coffee, tea and
juice. Find the sample space using
table, tree diagram and systematic
listing.
What is table? Tree
diagram? Systematic
Listing?
QUESTIONS:
Two dice are rolled. Find
the sample space using
table, tree diagram and
systematic listing.
SEATWORK
A. A wheel of 7 days is spinned and a
die is rolled. Find the sample space
using table, tree diagram and
systematic listing.
B. John has 3 pairs of pants and 2 shirts.
Find the sample space using table, tree
diagram and systematic listing.
ASSIGNMENT
Questions?
Comments?
Suggestions?
Opinions?
Ideas?
Violent Reactions?
Prepared By:
Loida B. Rosique
Math Teacher

RRRRRRTTMMM4TH-GRADING-TREE-DIAGRAM.pptx