Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
Home
Math Problems
Grade 8
Probability of independent and dependent events
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:
Get tutor help
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:
Get tutor help
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:
Get tutor help
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:
Get tutor help
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:
Get tutor help
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:
Get tutor help
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:
Get tutor help
In a class of
30
30
30
students,
10
10
10
have a cat and
21
21
21
have a dog. There are
2
2
2
students who do not have a cat or a dog. What is the probability that a student has a cat given that they do not have a dog?
\newline
Answer:
Get tutor help
In a class of
29
29
29
students,
12
12
12
play an instrument and
5
5
5
play a sport. There are
2
2
2
students who play an instrument and also play a sport. What is the probability that a student chosen randomly from the class does not play an instrument?
\newline
Answer:
Get tutor help
In a math class with
30
30
30
students, a test was given the same day that an assignment was due. There were
20
20
20
students who passed the test and
22
22
22
students who completed the assignment. There were
6
6
6
students who failed the test and also did not complete the assignment. What is the probability that a student passed the test given that they did not complete the assignment?
\newline
Answer:
Get tutor help
In a math class with
19
19
19
students, a test was given the same day that an assignment was due. There were
12
12
12
students who passed the test and
13
13
13
students who completed the assignment. There were
4
4
4
students who failed the test and also did not complete the assignment. What is the probability that a student who completed the assignment passed the test?
\newline
Answer:
Get tutor help
In a class of
22
22
22
students,
9
9
9
play an instrument and
15
15
15
play a sport. There are
4
4
4
students who play an instrument and also play a sport. What is the probability that a student who plays an instrument also plays a sport?
\newline
Answer:
Get tutor help
In a class of
18
18
18
students,
8
8
8
have a cat and
7
7
7
have a dog. There are
3
3
3
students who have a cat and a dog. What is the probability that a student has a cat given that they do not have a dog?
\newline
Answer:
Get tutor help
In a class of
28
28
28
students,
7
7
7
play an instrument and
17
17
17
play a sport. There are
3
3
3
students who play an instrument and also play a sport. What is the probability that a student chosen randomly from the class plays a sport or an instrument?
\newline
Answer:
Get tutor help
In a math class with
24
24
24
students, a test was given the same day that an assignment was due. There were
15
15
15
students who passed the test and
17
17
17
students who completed the assignment. There were
4
4
4
students who failed the test and also did not complete the assignment. What is the probability that a student who did not complete the assignment passed the test?
\newline
Answer:
Get tutor help
In a math class with
20
20
20
students, a test was given the same day that an assignment was due. There were
10
10
10
students who passed the test and
14
14
14
students who completed the assignment. There were
4
4
4
students who failed the test and also did not complete the assignment. What is the probability that a student passed the test given that they completed the assignment?
\newline
Answer:
Get tutor help
In a class of
30
30
30
students,
23
23
23
have a cat and
6
6
6
have a dog. There are
5
5
5
students who do not have a cat or a dog. What is the probability that a student chosen randomly from the class has a cat?
\newline
Answer:
Get tutor help
In a class of
24
24
24
students,
6
6
6
are female and
12
12
12
have an
A
A
A
in the class. There are
4
4
4
students who are female and have an A in the class. What is the probability that a female student has an
A
\mathrm{A}
A
?
\newline
Answer:
Get tutor help
In a class of
27
27
27
students,
13
13
13
have a brother and
15
15
15
have a sister. There are
11
11
11
students who have a brother and a sister. What is the probability that a student who has a brother also has a sister?
\newline
Answer:
Get tutor help
In a class of
23
23
23
students,
11
11
11
play an instrument and
5
5
5
play a sport. There are
3
3
3
students who play an instrument and also play a sport. What is the probability that a student does not play an instrument given that they play a sport?
\newline
Answer:
Get tutor help
In a class of
23
23
23
students,
8
8
8
play an instrument and
13
13
13
play a sport. There are
4
4
4
students who do not play an instrument or a sport. What is the probability that a student who plays an instrument does not play a sport?
\newline
Answer:
Get tutor help
In a class of
30
30
30
students,
18
18
18
have a brother and
8
8
8
have a sister. There are
9
9
9
students who do not have any siblings. What is the probability that a student chosen randomly from the class does not have a brother?
\newline
Answer:
Get tutor help
In a class of
27
27
27
students,
15
15
15
play an instrument and
13
13
13
play a sport. There are
3
3
3
students who do not play an instrument or a sport. What is the probability that a student who plays an instrument also plays a sport?
\newline
Answer:
Get tutor help
In a class of
30
30
30
students,
6
6
6
play an instrument and
15
15
15
play a sport. There are
13
13
13
students who do not play an instrument or a sport. What is the probability that a student who plays an instrument does not play a sport?
\newline
Answer:
Get tutor help
In a class of
23
23
23
students,
9
9
9
are female and
18
18
18
have an A in the class. There are
7
7
7
students who are female and have an
A
\mathrm{A}
A
in the class. What is the probability that a student chosen randomly from the class is a male?
\newline
Answer:
Get tutor help
In a class of
19
19
19
students,
12
12
12
have a brother and
6
6
6
have a sister. There are
2
2
2
students who have a brother and a sister. What is the probability that a student chosen randomly from the class has a brother and a sister?
\newline
Answer:
Get tutor help
The probability of winning a game is
1
/
1000
1 / 1000
1/1000
. If you play this game
500
500
500
times, what is the probability that you win at least twice?
Get tutor help
You pick a card at random. Without putting the first card back, you pick a second card at random.
\newline
5
6
7
5\ 6\ 7
5
6
7
\newline
What is the probability of picking a
7
7
7
and then picking a
7
7
7
?
\newline
Write your answer as a fraction or whole number.
\newline
‾
\underline{\hspace{3em}}
Get tutor help
Previous
1
2