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Practice B
10-5 Probability of Independent and Dependent Events
Decide if each set of events is independent or dependent.
Explain your answer.
1. spinning a spinner and choosing a Scrabble® tile
2. choosing a sock from a drawer of socks, then choosing a
second sock without replacing the first
3. picking a raffle ticket from a box, replacing the ticket, then
picking a second raffle ticket
Find the probability of each set of events.
4. drawing a red checker from a bag of 9 black checkers and
6 red checkers, replacing it, and drawing another red checker
5. drawing a black checker from a bag of 9 black checkers and
6 red checkers, replacing it, and drawing a red checker
6. rolling a 1, 2, or 3 on the first roll of a 1–6 number cube and
rolling a 4, 5, or 6 on the second roll of the same cube
7. Randy has 4 pennies, 2 nickels, and 3 dimes in his pocket. If he
randomly chooses 2 coins, what is the probability that
both are dimes?
Copyright © by Holt, Rinehart and Winston.
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46
Holt Middle School Math
Course 2
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Exploration Recording Sheet
LESSON
10-5 Probability of Independent and Dependent Events
Puzzles, Twisters & Teasers
LESSON
10-4 Probably Problems!
Across
1. You can learn to find the ____ probability of an event.
3. You can write a ____ as a decimal or a fraction.
4. The theoretical probability of an event equals the number of favorable
outcomes divided by the number of ____ outcomes.
5. If each possible outcome of an experiment is equally likely, the experiment
is said to be ____.
7. You can write a ____ as a fraction or a percent.
8. A ____ outcome is one that you are looking for when you conduct an experiment.
1
T
H
2
E
O R E
T
I
C
Each of four groups of students, A, B, C, and D, must choose one of
the following types of music to write a report on: jazz, classical, rock,
and blues. The types of music are written on four index cards, and
once a card is chosen, it cannot be returned.
A L
X
3
P
E
R C
E N
4
5
7
D E
F
A
I
R
C
I
M A L
P W
O E
S
N
S
TI
Y
B
L
E
N
C
T
T
B
A
I
I
L
O
L
F
Down
N
2. ____ probability represents
only a likelihood of an event
occurring.
4. You can write ____ as a fraction,
a decimal, or a percent.
5. You can write a ____ as a decimal or
as a percent.
Jazz
Group C
Group D
Classical
Blues
2. Suppose group A chooses blues. When group B draws next,
what is the probability that rock will be chosen?
R
O
1
!!
3
3. Suppose group B chooses rock. When group C draws, what is
the probability that jazz will be chosen?
B
8
Rock
1
!!
4
E
I
M
Group B
1. If group A chooses first, what is the probability that blues will
be chosen?
T
R
Group A
A
V O R
A B L
EN
1
!!
2
4. Suppose group C chooses jazz. When group D draws, what is
the probability that classical will be chosen?
1
II
Think and Discuss
T
5. Discuss why one group’s draw is affected by what the previous
group drew.
Y
Possible answer: The number of choices decreases after each draw.
6. Explain why the probability that the last group will pick the last
type of music must be 100%.
Possible answer: That is the only card left so the probability is 100%.
41
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Middle School Math
Course 2
44
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Practice A
LESSON
10-5 Probability of Independent and Dependent Events
Holt Middle School Math
Course 2
Practice B
LESSON
10-5 Probability of Independent and Dependent Events
Decide if each set of events is independent or dependent.
Explain your answer.
Decide if each set of events is independent or dependent.
Explain your answer.
1. spinning a spinner and choosing a Scrabble® tile
1. spinning a spinner and rolling a number cube
Independent; Spinning a spinner does not affect
Independent; Spinning a spinner does not affect
the outcome of choosing a Scrabble® tile.
the outcome of rolling a number cube.
2. picking a raffle ticket from a box and then picking a second raffle
ticket without replacing the first raffle ticket
2. choosing a sock from a drawer of socks, then choosing a
second sock without replacing the first
Dependent; There are fewer raffle tickets in the
Dependent; There are fewer socks in the drawer
box for the second ticket picked.
for the second sock picked.
3. picking a raffle ticket from a box, replacing the ticket, then
picking a second raffle ticket
Find the probability of each set of events. Choose the letter for
the best answer.
3. drawing a black checker from a bag
of 6 black checkers and 4 red
checkers, replacing it, and drawing
another black checker
Independent; There are the same number of raffle
4. rolling a six on the first roll of a 1–6
number cube and rolling an odd
number on the second roll of the
same cube
2
A !3!
2
C !5!
1
F !1!
!
2
1
H !6!
9
B !2!
!
5
3
D !5!
1
G !8!
1
J !2!
5. flipping a tail on a coin and spinning
a 5 on a spinner with sections of
equal area numbered 1–5
tickets in the box for the second ticket picked.
Find the probability of each set of events.
4. drawing a red checker from a bag of 9 black checkers and
6 red checkers, replacing it, and drawing another red checker
4
!!
25
6. drawing a 1, 2, or 3 from 9 cards
numbered 1–9, replacing the card,
and drawing a 7, 8, or 9
1
A !2!
1
C !7!
1
F !3!
1
B !5!
1
!
D !
!
10
3
G !8!
5. drawing a black checker from a bag of 9 black checkers and
6 red checkers, replacing it, and drawing a red checker
6
!!
25
1
H !9!
!
1
!
J !
12
6. rolling a 1, 2, or 3 on the first roll of a 1–6 number cube and
rolling a 4, 5, or 6 on the second roll of the same cube
7. There are 4 black marbles and 2 white marbles in a bag. What is
the probability of choosing a black marble, not replacing it, then
choosing a white marble?
1
!!
4
7. Randy has 4 pennies, 2 nickels, and 3 dimes in his pocket. If he
randomly chooses 2 coins, what is the probability that
both are dimes?
4
!!
15
1
!!
12
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
45
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Middle School Math
Course 2
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
84
46
Holt Middle School Math
Holt Middle School Math
Course 2
Course 2