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Math Problems
Grade 8
Probability of independent and dependent events
Learn with an example
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or
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Watch a video
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a video
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0
0
0
(D)
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A drawing class was assigned a final project where students had to choose one art medium and one genre. The professor kept track of the types of projects submitted.
\newline
\begin{tabular}{|l|c|c|}
\newline
\hline \multicolumn{
1
1
1
}{|c|}{} & Portrait & Landscape \\
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\hline Acrylic paint &
8
8
8
&
2
2
2
\\
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\hline Oil paint &
3
3
3
&
5
5
5
\\
\newline
\hline
\newline
\end{tabular}
\newline
What is the probability that a randomly selected student used oil paint and chose to create a landscape?
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Simplify any fractions.
\newline
□
\square
□
\newline
Submit
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A spinner has
5
5
5
equally sized sections,
1
1
1
of which is gray and
4
4
4
of which are blue. The spinner is spun twice. What is the probability that the first spin lands on blue and the second spin lands on gray?
\newline
Write your answer as a fraction in simplest form.
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es/
1521701
1521701
1521701
/quizzes/
3654992
3654992
3654992
/take
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Question
1
1
1
\newline
1
1
1
pts
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Suppose the spinner shown below is spun one time. What is the probability that the pointer will land on
1
1
1
or
2
2
2
?
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3
3
3
\newline
2
5
\frac{2}{5}
5
2
\newline
1
3
\frac{1}{3}
3
1
\newline
1
2
\frac{1}{2}
2
1
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a bed of flowers consists of
100
100
100
stalks of flowers of which
20
20
20
are lillies,
h
h
h
are roses and the rest are tulips. given that the probability of picking a stalk of tulip at random is
1
4
\frac{1}{4}
4
1
find the value of
h
h
h
.
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JpQLsf
1
1
1
L-YB_a
4
4
4
YfDV
62
62
62
S
4
4
4
v_nDNXNTjtmsLGF
9
9
9
kPaWTXjVulMCOw/viewform?hr_submission=Chk
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Question
7
7
7
*
\newline
A board game has two spinners. The first spinner has
4
4
4
equal areas labeled
1
1
1
,
2
2
2
,
3
3
3
and
4
4
4
. The second spinner has
3
3
3
equal areas that are labeled: Move Ahead, Move Back, and Do Not Move. What is the probability the first spinner will land on a
2
2
2
and the second spinner will NOT land on Move Back?
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A
1
2
\frac{1}{2}
2
1
\newline
B
1
4
\frac{1}{4}
4
1
\newline
C
1
8
\frac{1}{8}
8
1
\newline
D
1
6
\frac{1}{6}
6
1
\newline
A
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B
\newline
C
\newline
D
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Question
8
8
8
\newline
7
7
7
. The list below snows the numbers of each type of music you nave on vour music playes.
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4
4
4
. If you spin the spinner twice, what is the probability of spinning pink then brown
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Three coins are simultaneously flipped, what is the probability that it lands exactly one head
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After growing tired of squinting while driving, Desmond went shopping for a pair of sunglasses. He tried on glasses with different frames and lenses.
\newline
\begin{tabular}{|l|c|c|c|}
\newline
\cline {
2
2
2
-
4
4
4
} & Cat eye frames & Browline frames & Aviator frames \\
\newline
\hline Polarized lenses &
2
2
2
&
8
8
8
&
7
7
7
\\
\newline
\hline Regular lenses &
7
7
7
&
4
4
4
&
8
8
8
\\
\newline
\hline
\newline
\end{tabular}
\newline
What is the probability that a randomly selected pair of sunglasses has cat eye frames and does not have regular lenses?
\newline
Simplify any fractions.
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Some sanitation workers sifted through some recycling and trash to see whether people had correctly sorted their plastic bottles.
\newline
\begin{tabular}{|l|c|c|c|}
\newline
\cline {
2
2
2
-
4
4
4
} & Plastic \#
2
2
2
& Plastic \#
4
4
4
& Plastic \#
5
5
5
\\
\newline
\hline Correctly placed &
5
5
5
&
7
7
7
&
7
7
7
\\
\newline
\hline Incorrectly placed &
6
6
6
&
5
5
5
&
5
5
5
\\
\newline
\hline
\newline
\end{tabular}
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What is the probability that a randomly selected bottle is not correctly placed and is not made of plastic \#
2
2
2
?
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Simplify any fractions.
\newline
□
\square
□
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Suzie is shopping for a new bicycle. She is most interested in color and type of tires.
\newline
\begin{tabular}{|l|c|c|}
\newline
\hline & Red & Green \\
\newline
\hline Road bike tires &
5
5
5
&
9
9
9
\\
\newline
\hline Mountain bike tires &
6
6
6
&
7
7
7
\\
\newline
\hline City bike tires &
8
8
8
&
7
7
7
\\
\newline
\hline
\newline
\end{tabular}
\newline
What is the probability that a randomly selected bike does not have mountain bike tires and is not red?
\newline
Simplify any fractions.
\newline
□
\square
□
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An online store sells a variety of photo albums. The albums range in photo capacity and orientation.
\newline
\begin{tabular}{|l|c|c|}
\newline
\hline & Horizontally & Vertically \\
\newline
\hline Under
50
50
50
photos &
5
5
5
&
4
4
4
\\
\newline
\hline
50
50
50
photos or more &
1
1
1
&
2
2
2
\\
\newline
\hline
\newline
\end{tabular}
\newline
What is the probability that a randomly selected photo album does not hold
50
50
50
photos or more or is not oriented vertically?
\newline
Simplify any fractions.
\newline
□
\square
□
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The owner of a sushi restaurant looked over some recent orders. He noted how many yellowtail and salmon rolls had been ordered.
\newline
\begin{tabular}{|l|c|c|}
\newline
\cline {
2
2
2
-
3
3
3
} & Not spicy & Spicy \\
\newline
\hline Yellowtail &
2
2
2
&
2
2
2
\\
\newline
\hline Salmon &
3
3
3
&
4
4
4
\\
\newline
\hline
\newline
\end{tabular}
\newline
What is the probability that a randomly selected sushi roll contains yellowtail and is not spicy?
\newline
Simplify any fractions.
\newline
□
\square
□
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Kamal likes to go on canoe trips, and on each trip he purchases oars to keep as souvenirs. His collection of oars is organized by decade and type of wood.
\newline
\begin{tabular}{|c|c|c|}
\newline
\hline & Spruce wood & Ash wood \\
\newline
\hline
2010
2010
2010
s &
2
2
2
&
2
2
2
\\
\newline
\hline
2020
2020
2020
s &
5
5
5
&
4
4
4
\\
\newline
\hline
\newline
\end{tabular}
\newline
What is the probability that a randomly selected oar was not purchased in the
2010
2010
2010
s and was not made from spruce wood?
\newline
Simplify any fractions.
\newline
□
\square
□
Get tutor help
Ken is a sandwich maker at a local deli. Last week, he tracked the number of peanut butter and jelly sandwiches ordered, noting the flavor of jelly and type of peanut butter requested.
\newline
\begin{tabular}{|l|c|c|}
\newline
\hline & Creamy peanut butter & Chunky peanut butter \\
\newline
\hline Strawberry jelly &
4
4
4
&
3
3
3
\\
\newline
\hline Grape jelly &
1
1
1
&
4
4
4
\\
\newline
\hline
\newline
\end{tabular}
\newline
What is the probability that a randomly selected sandwich was made with grape jelly or was not made with creamy peanut butter?
\newline
Simplify any fractions.
\newline
□
\square
□
Get tutor help
Over a weekend, Braden counted the number of single scoop ice creams ordered at his store. He tracked the flavors and the day on which it was ordered.
\newline
\begin{tabular}{|l|c|c|}
\newline
\cline {
2
2
2
-
3
3
3
} & Saturday & Sunday \\
\newline
\hline Chocolate &
6
6
6
&
1
1
1
\\
\newline
\hline Vanilla &
3
3
3
&
6
6
6
\\
\newline
\hline
\newline
\end{tabular}
\newline
What is the probability that a randomly selected ice cream was not vanilla and was not ordered on a Saturday?
\newline
Simplify any fractions.
\newline
□
\square
□
Get tutor help
If a fair die is rolled
3
3
3
times, what is the probability, to the nearest thousandth, of getting exactly
2
2
2
twos?
\newline
Answer:
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If a fair die is rolled
7
7
7
times, what is the probability, to the nearest thousandth, of getting exactly
1
1
1
two?
\newline
Answer:
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If a fair die is rolled
6
6
6
times, what is the probability, to the nearest thousandth, of getting exactly
4
4
4
sixes?
\newline
Answer:
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If a fair coin is tossed
5
5
5
times, what is the probability, to the nearest thousandth, of getting exactly
4
4
4
tails?
\newline
Answer:
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If a fair die is rolled
5
5
5
times, what is the probability, rounded to the nearest thousandth, of getting at most
1
1
1
four?
\newline
Answer:
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If a fair coin is tossed
4
4
4
times, what is the probability, rounded to the nearest thousandth, of getting at least
3
3
3
tails?
\newline
Answer:
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If a fair die is rolled
4
4
4
times, what is the probability, rounded to the nearest thousandth, of getting at least
3
3
3
fours?
\newline
Answer:
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If a fair die is rolled
4
4
4
times, what is the probability, rounded to the nearest thousandth, of getting at most
1
1
1
two?
\newline
Answer:
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If a fair coin is tossed
9
9
9
times, what is the probability, rounded to the nearest thousandth, of getting at least
8
8
8
tails?
\newline
Answer:
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If a fair die is rolled
5
5
5
times, what is the probability, rounded to the nearest thousandth, of getting at least
4
4
4
threes?
\newline
Answer:
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If a fair coin is tossed
5
5
5
times, what is the probability, rounded to the nearest thousandth, of getting at most
2
2
2
tails?
\newline
Answer:
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12
12
12
. A bag contains
5
5
5
red marbles,
4
4
4
green marbles,
6
6
6
white marbles, and
5
5
5
black marbles. What is the probability of randomly drawing a red marble and then a green marble if the first marbled is replaced? Write your answer as a fraction in simplest form.
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In a particular school assembly of
120
120
120
students, there are
40
40
40
first graders,
20
20
20
of which are girls. If one student is chosen at random, what is the probability that the chosen student vill not be a first grade girl?
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A bag contains
6
6
6
red marbles,
7
7
7
blue marbles and
8
8
8
green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be blue?
\newline
Answer:
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A bag contains
3
3
3
red marbles,
7
7
7
blue marbles and
8
8
8
green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest
1
1
1
oooth, that all three marbles drawn will be blue?
\newline
Answer:
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A bag contains
5
5
5
red marbles,
3
3
3
blue marbles and
6
6
6
green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be green?
\newline
Answer:
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A bag contains
5
5
5
red marbles,
4
4
4
blue marbles and
7
7
7
green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be red?
\newline
Answer:
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A bag contains
5
5
5
red marbles,
8
8
8
blue marbles and
7
7
7
green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be blue?
\newline
Answer:
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A bag contains
2
2
2
red marbles,
5
5
5
blue marbles and
6
6
6
green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be green?
\newline
Answer:
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A bag contains
4
4
4
red marbles,
3
3
3
blue marbles and
7
7
7
green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be blue?
\newline
Answer:
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Adam invests money in an account paying a simple interest of
6
%
6 \%
6%
per year. If no money will be added or removed from the investment, what should he multiply his current balance by to find his total balance in a year in one step?
\newline
Answer:
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Zoe owns a small business selling clothing. She knows that in the last week
41
41
41
customers paid cash,
54
54
54
customers used a debit card, and
44
44
44
customers used a credit card.
\newline
Based on these results, express the probability that the next customer will pay with a debit card as a fraction in simplest form.
\newline
Answer:
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Riley owns a small business selling clothing. She knows that in the last week
88
88
88
customers paid cash,
17
17
17
customers used a debit card, and
3
3
3
customers used a credit card.
\newline
Based on these results, express the probability that the next customer will pay with cash as a percent to the nearest whole number.
\newline
Answer:
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13
13
13
. A store sells a box of highlighters that contains
4
4
4
yellow,
3
3
3
blue,
2
2
2
pink, and
1
1
1
green highlighter. What is the probability of randomly picking first
1
1
1
blue and then
1
1
1
pink highlighter from the box without replacing the blue highlighter?
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13
13
13
. At a school fair, the spinner represented in the accompanying diagram is spun twice. What is the probability that it will land in section
G
G
G
the first time and then in section
B
B
B
the second time?
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In a class of
6
6
6
, there are
2
2
2
students who forgot their lunch. If the teacher chooses
2
2
2
students, what is the probability that both of them forgot their lunch?
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A bag contains
6
6
6
red balls,
4
4
4
green balls, and
3
3
3
blue balls. If we choose a ball, then another ball without putting the first one back in the bag, what is the probability that the first ball will be green and the second will be red?
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E.J. calls people at random to conduct a survey. So far
40
40
40
calls have been answered and
120
120
120
calls have not been answered. What is the approximate probability that someone answers the next call he makes?
\newline
A.
(
1
)
/
(
3
)
(1)/(3)
(
1
)
/
(
3
)
\newline
B.
0.4
0.4
0.4
\newline
C.
0.25
0.25
0.25
\newline
D.
75
%
75\%
75%
\newline
SUBMIT
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In a certain Algebra
2
2
2
class of
29
29
29
students,
18
18
18
of them play basketball and
6
6
6
of them play baseball. There are
7
7
7
students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
\newline
Answer:
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In a certain Algebra
2
2
2
class of
29
29
29
students,
14
14
14
of them play basketball and
8
8
8
of them play baseball. There are
2
2
2
students who play both sports. What is the probability that a student chosen randomly from the class plays basketball or baseball?
\newline
Answer:
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In a certain Algebra
2
2
2
class of
30
30
30
students,
16
16
16
of them play basketball and
10
10
10
of them play baseball. There are
8
8
8
students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?
\newline
Answer:
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In a certain Algebra
2
2
2
class of
29
29
29
students,
9
9
9
of them play basketball and
15
15
15
of them play baseball. There are
11
11
11
students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?
\newline
Answer:
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In a certain Algebra
2
2
2
class of
22
22
22
students,
7
7
7
of them play basketball and
13
13
13
of them play baseball. There are
4
4
4
students who play both sports. What is the probability that a student chosen randomly from the class plays basketball or baseball?
\newline
Answer:
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In a certain Algebra
2
2
2
class of
23
23
23
students,
9
9
9
of them play basketball and
13
13
13
of them play baseball. There are
7
7
7
students who play both sports. What is the probability that a student chosen randomly from the class plays basketball or baseball?
\newline
Answer:
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In a certain Algebra
2
2
2
class of
30
30
30
students,
12
12
12
of them play basketball and
14
14
14
of them play baseball. There are
7
7
7
students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
\newline
Answer:
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1
2
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