Name: Date: CHAPTER TEST A
11
Probability
Concepts and Skills
25
Suggested Time:
30 min
(Questions 1 and 2: 2 3 1 point 5 2 points,
Questions 3 and 4: 2 3 3 points 5 6 points,
Questions 5 and 6: 2 3 1 point 5 2 points)
State whether each event is a simple or compound event.
1. Selecting randomly two letters in a row from the word VALLEY
2. Drawing one baseball card from a case of sports cards
3. Draw a card from a bag with 1 white, 1 red, and 1 blue card, and toss a fair coin.
180
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Draw the possibility diagram and state the number of possible outcomes
for each compound event.
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Name: Date: 4. From a bag containing 3 blue marbles and 3 green marbles, select two
marbles, one at a time with replacement.
State whether each compound event consists of independent events or
dependent events.
5. Obtaining a six from throwing a fair six-sided number die, and then a two
from another fair six-sided number die
6. From a stack of books, selecting two books randomly, one at a time without
replacement
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Problem Solving
(3 3 5 points 5 15 points)
Solve. Show your work.
7. A spinner equally divided into four sectors is marked 2, 3, 5, and 6. A fair
four-sided die is marked 1, 1, 2, and 4. Robyn tosses the die and spins the
spinner.
a)Use a possibility diagram to find the probability that Robyn gets a
negative number when she subtracts the number on the spinner from
the number on the die.
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Name: Date: b)Use a possibility diagram to find the probability that the product of the
two resulting numbers is even.
c)Find the probability that the product of the two resulting numbers is
at most 8.
8. The probability of Charice watching a musical is m. The events of
Charice watching and not watching a musical are mutually exclusive and
complementary.
b)Draw a tree diagram to represent the possible outcomes for two
consecutive days.
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a)Write an expression to represent that Charice will not watch a
musical.
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Name: Date: c)If m 5 0.6, find the probability that Charice will watch a musical on each
of the two consecutive days.
d)If m 5 0.38, find the probability that she will not watch a musical on
each of the two consecutive days.
e)If m 5 0.3, find the probability that Charice will watch a musical on at
least one of the two consecutive days.
9. Tracie has 5 U.S.A. stamps, 2 Singapore stamps, and 3 New Zealand
stamps. She randomly selects 2 stamps to give to her friend.
Draw a tree diagram to represent the possible outcomes.
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a)
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Name: Date: b) What is the probability that Tracie selects two Norway stamps?
c)
What is the probability that Tracie selects two U.S.A. stamps?
e)What is the probability that Tracie selects both stamps from the same country?
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d) What is the probability that Tracie selects two New Zealand stamps?
184 Chapter 11 Test A
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Name: Date: CHAPTER TEST B
11
25
Probability
Concepts and Skills
Suggested Time:
30 min
(Questions 1 and 2: 2 3 1 point 5 2 points,
Questions 3 and 4: 2 3 3 points 5 6 points,
Questions 5 and 6: 2 3 1 points 5 2 points)
State whether each event is a simple or compound event.
1. Choosing a dime and then a quarter from a bag of coins
2. Selecting the letter A from the word NATIONAL
© Marshall Cavendish International (Singapore) Private Limited.
Draw the possibility diagram and state the number of possible outcomes
for each compound event.
3. Randomly choosing a student from a class consisting of 20 boys and 10 girls,
and randomly choosing a student from another class consisting of 10 boys
and 20 girls
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16/08/12 10:00 AM
Name: Date: 4. From a container with 5 blue stickers and 7 red stickers, selecting two stickers,
one at a time without replacement
State whether each compound event consists of independent events or
dependent events.
5. From a deck of 10 number cards labeled 1 to 10, choosing two cards labeled
1 randomly, one at a time with replacement
6. From a bag containing 5 oranges, where 3 are ripe and 2 are too green to be
eaten, picking 2 ripe oranges randomly, one at a time without replacement
Problem Solving
(3 3 5 points 5 15 points)
7. A spinner is equally divided into three equal sectors and marked 2, 3, and 5.
Five number cards are labeled 1, 1, 2, 3, and 4. Mike spins the spinner and
draws a card randomly.
a)Use a possibility diagram to find the probability that Mike gets a zero when
he subtracts the number on the spinner from the number on the card.
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Solve. Show your work.
186 Chapter 11 Test B
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Name: Date: b)Use a possibility diagram to find the probability that the product of the
two resulting numbers is odd.
c)What is the probability that the product of the two resulting numbers is
at least 12?
8. The probability of Steven going to the gym is x. The events of Steven going
and not going to the gym are mutually exclusive and complementary.
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a)Write an expression to represent the probability that Steven will not go to
the gym.
b)Draw a tree diagram to represent the possible outcomes for two
consecutive days.
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Name: Date: c)If x 5 0.7, find the probability that Steven will go to the gym on each of
the two consecutive days.
d)If x 5 0.58, find the probability that Steven will not go to the gym on
each of the two consecutive days.
e)If x 5 0.2, find the probability that Steven will go to the gym on at most
one of the two consecutive days.
9. Sara has 3 sketchbooks, 1 notebook, and 3 sticky notes. She randomly
selects two items to give to her friend, Andy.
Draw a tree diagram to represent the possible outcomes.
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a)
188 Chapter 11 Test B
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Name: Date: b) What is the probability that Sara selects a novel?
c)What is the probability that Sara selects a sketchbook and then a sticky note?
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d) What is the probability that Sara selects two sketchbooks?
e)
What is the probability that Sara selects both items of the same type?
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8. a) 1 2 m
b)
1. Compound
3.
Coin
W
R
B
H
(H, W)
(H, R)
(H, B)
T
(T, W)
(T, R)
(T, B)
1m
m
1m
There are 6 possible outcomes.
4.
1st Ball
2nd Ball
Outcome
B
(B, B)
G
B
(B, G)
(G, B)
c) 0.36
d) 0.3844
e) 0.51
9. a)
1st Stamp
(G, G)
5
 
10
B represents blue marble
G represents green marble
There are 4 possible outcomes.
5. Independent
6. Dependent
Die
6
21
21
22
22
21
1
24
24
23
21
25
25
24
22
0
2
Die
c)
3
4
11
16
2
2
2
4
8
3
3
3
6
12
5
5
5
10
20
6
6
6
12
24
W
(NW, W )
NW
(NW, NW )
U
(U, U )
S
(U, S )
3
 
9
N
(U, N )
5
 
9
U
(S, U )
1
 
9
S
(S, S )
3
 
9
N
(S, N )
5
 
9
U
(N, U )
2
 
9
S
(N, S )
N
(N, N )
S
N
Spinner
3
1
1
2
4
(W, NW )
Outcome
2
 
9
2
 
9
b)
5
13
16
3
2
 
10
3
 
10
Spinner
2
NW
2nd Stamp
4
 
9
G
2
1
1
2
4
(W, W )
W represents watching a musical
NW represents not watching a musical
U
7. a)
W
NW
1m
B
G
Outcome
W
m
H represents head
T represents tail
W represents white card
R represents red card
B represents blue card
2nd Day
m
Card
1st Day
2. Simple
U represents U.S.A. stamps
S represents Singapore stamps
N represents New Zealand stamps
b) 0
d)
1 15
c)
e)
2
9
14
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Chapter 11 Test A
238 Answers
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8. a) 1 2 x
b)
Chapter 11 Test B
1. Compound
1st Class
B
G
x
B
(B, B)
(B, G)
G
(G, B)
(G, G)
x
x
1x
2nd Sticker Outcome
(R, R )
R
B
R
(R, B )
(B, R )
B
(B, B )
c) 0.49
d) 0.1764
e) 0.96
9. a)
1st Item
S
Card
2
3
5
21
21
22
22
21
0
1
24
24
23
22
21
2
15
c)
2
5
1
5
3
1
1
2
3
4
2
2
2
4
6
8
3
3
3
6
9
12
(NG, G)
5
5
5
10
15
20
(S, S )
T
S
(S, T )
(N, S )
0 N
(N, N )
T
S
(N, T )
3
 
6
N
3
 
6
3
 
7
3
 
6
T
1
 
6
N
2
 
6
T
(S, N )
(T, S )
(T, N )
(T, T )
S represents sketchbook
N represents notebook
T represents sticky note
Spinner
b)
Card
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1
 
7
Spinner
1
2
G
S
1
 
6
N
3
 
6
3
 
7
There are 4 possible outcomes.
5. Independent
6. Dependent
0
(G, NG)
2nd Item Outcome
2
 
6
R represents red sticker
B represents blue sticker
2
1
1
2
3
4
NG
NG
B
7. a)
(G, G)
NG
(NG, NG)
1x
G represents going to the gym
NG represents not going to the gym
B represents boy
G represents girl
There are 4 possible outcomes.
1st Sticker
G
G
1x
R
2nd Day Outcome
2nd Class
3.
4.
1st Day
2. Simple
c) 3
b) 0
d)
14
e) 2
7
1
7
End-of-Course Test A
1.
3.
5.
7.
9.
C
C
A
B
D
2.
4.
6.
8.
10.
A
B
B
A
D
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