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
8.
Count the Numberof Occurrences
of an Outcome in an Experiment
using Table, Tree Diagram and
Systematic Listing
Table
Is anarrangement 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
11.
Two coins aretossed. 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
12.
Tossing a coinand 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
Lily is tryingto 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
GROUP 1, 3and 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.
19.
BOARDWORK
Red Ribbon servestwo 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.
Two dice arerolled. Find
the sample space using
table, tree diagram and
systematic listing.
SEATWORK
22.
A. A wheelof 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