Transcript Probability-Sample Space - Pikeville Independent Schools

Five-Minute Check (over Lesson 7–4)
Main Idea and Vocabulary
Example 1: Use a List to Find a Sample Space
Example 2: Use a Tree Diagram to Find Sample
Space
Example 3: Use Fundamental Counting Principle
• Construct sample spaces using tree diagrams or
lists.
• Fundamental Counting Principle
• sample space
• tree diagram
Use a List to Find Sample Space
VACATION While on vacation, Carlos can go
snorkeling, boating, and paragliding. In how many
ways can Carlos do the three activities? Make an
organized list to show the sample space.
Make an organized list. Use S for snorkeling, B for
boating, and P for paragliding.
SBP
SPB
BSP
BPS
PSB
PBS
Answer: There are 6 ways Carlos can do the three
activities.
STUDENT COUNCIL Ken, Betsy, Sally, and David are
seated in a row at the head table at a student council
meeting. In how many ways can the four students be
seated?
A. 8
B. 12
C. 16
D. 24
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
Use a Tree Diagram to Find Sample Space
A car can be purchased with either two doors or
four doors. You may also choose leather, fabric, or
vinyl seats. Use a tree diagram to find all the buying
options.
List each choice for the number of doors. Then pair each
choice for the number of doors with each choice for the
type of seats.
Use a Tree Diagram to Find Sample Space
Answer: There are six possible buying options.
A pair of sneakers can be purchased with either laces
or Velcro. You may also choose white, gray, or black
sneakers. Use a tree diagram to find how many
different sneakers are possible.
A. 3
B. 5
C. 6
D. 8
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
Use Fundamental Counting
Principle
FLOWERS Chloe wants to buy a bouquet of
flowers in a vase. The flower shop has roses,
daffodils, and tulips and has four different vases
from which to choose. Use the Fundamental
Counting Principle to find the total number of
possible outcomes of a bouquet made up of two
types of flowers in a vase.
number of
outcomes for
flower choice
3
•
number of
outcomes for
vase choice
=
total
number of
outcomes
•
4
=
12
Use Fundamental Counting
Principle
Answer: There are 12 different outcomes.
PASTA A restaurant offers a pasta bar where
customers can choose from fettuccine, linguine, and
macaroni for their pasta choice, and three types of
sauce. Use the Fundamental Counting Principle to
find the total number of outcomes of a pasta dish
with one type of pasta and one sauce.
A. 3
B. 6
1.
2.
3.
4.
C. 9
0%
0%
D
0%
C
A
0%
B
D. 12
A
B
C
D
End of the Lesson
Five-Minute Check (over Lesson 7–4)
Image Bank
Math Tools
Animation Menu
Probability and Area
7-2 Circle Graphs
7-8 Estimating With Percents
(over Lesson 7-4)
A ten-sided number cube with the numbers 1–10 on
it is rolled. Find the probability of the event P(3).
Write the answer as a fraction, a decimal, and a
percent.
%
%
D.
%
0%
A
C.
0%
1.
2.
3.
4.
0%
A
B
C
D
0%
D
B.
C
%
B
A.
(over Lesson 7-4)
A ten-sided number cube with the numbers 1–10 on
it is rolled. Find the probability of the event P(1 or 2).
Write the answer as a fraction, a decimal, and a
percent.
0%
D.
%
0%
1.
2.
3.
4.
0%
A
B
C
D
0%
D
%
A
C.
%
C
B.
%
B
A.
(over Lesson 7-4)
A ten-sided number cube with the numbers 1–10
on it is rolled. Find the probability of the event
P(4 or less). Write the answer as a fraction, a
decimal, and a percent.
%
%
0%
D.
%
0%
A
B
C
D 0%
D
C.
1.
2.
3.
4. 0%
C
%
A
B.
B
A.
(over Lesson 7-4)
A ten-sided number cube with the numbers 1–10 on
it is rolled. Find the probability of the event
P(not a multiple of 3). Write the answer as a fraction,
a decimal, and a percent.
0%
D.
%
0%
1.
2.
3.
4.0%
A
B
C
0%
D
D
%
A
C.
%
C
B.
%
B
A.
(over Lesson 7-4)
A petting zoo has five goats, four camels, and a
ferret. If the zookeeper knows that only one animal
got out and all animals had an equal chance of
getting out, what is the chance that it was the ferret?
Write the answer as a fraction, a decimal, and a
percent.
0%
0%
0%
D
0%
A
B
C
D
C
D.
1.
2.
3.
4.
B
C.
B.
A
A.
(over Lesson 7-4)
What is the chance of drawing any king in a deck
52 cards?
A.
B.
C.
D.
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D