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Math Problems
Grade 8
Probability of independent and dependent events
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?
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Answer:
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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?
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Answer:
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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:
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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?
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Answer:
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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?
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Answer:
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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?
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Answer:
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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?
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You pick a card at random. Without putting the first card back, you pick a second card at random.
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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}}
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