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Math Problems
Grade 7
Probability of mutually exclusive events and overlapping events
You spin the spinner once.
3
,
4
,
5
,
6
,
7
,
8
3,4,5,6,7,8
3
,
4
,
5
,
6
,
7
,
8
What is
P
(
odd or prime
)
P(\text{odd or prime})
P
(
odd or prime
)
? Write your answer as a percentage.
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You roll a
6
6
6
-sided die.
\newline
What is
P
(
3
or greater than
4
)
P(3 \text{ or greater than } 4)
P
(
3
or greater than
4
)
?
\newline
Write your answer as a percentage.
\newline
_
_
_
_
_
%
\_\_\_\_\_\%
_____%
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You pick a card at random.
\newline
345
345
345
\newline
What is
P
(
4
or odd
)
P(4 \text{ or odd})
P
(
4
or odd
)
?
\newline
Write your answer as a fraction or whole number.
\newline
_
_
_
_
_
\_\_\_\_\_
_____
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You roll a
6
6
6
-sided die.
\newline
What is
P
(
odd or even
)
P(\text{odd or even})
P
(
odd or even
)
?
\newline
Write your answer as a percentage.
\newline
_
_
_
_
%
\_\_\_\_\%
____%
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You pick a card at random.
\newline
123
123
123
\newline
What is
P
(
1
or
2
)
P(1 \text{ or } 2)
P
(
1
or
2
)
?
\newline
Write your answer as a fraction or whole number.
\newline
_
_
_
_
_
\_\_\_\_\_
_____
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You pick a card at random.
\newline
123
123
123
\newline
What is
P
(
2
P(2
P
(
2
or less than
3
)
3)
3
)
?
\newline
Choices:
\newline
(A)
1
4
\frac{1}{4}
4
1
\newline
(B)
2
3
\frac{2}{3}
3
2
\newline
(C)
1
1
1
\newline
(D)
2
1
\frac{2}{1}
1
2
Get tutor help
You roll a
6
6
6
-sided die.
\newline
What is
P
(
2
or less than
4
)
P(2 \text{ or less than } 4)
P
(
2
or less than
4
)
?
\newline
Choices:
\newline
(A)
20
%
20\%
20%
\newline
(B)
70
%
70\%
70%
\newline
(C)
40
%
40\%
40%
\newline
(D)
50
%
50\%
50%
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You pick a card at random.
\newline
678
678
678
\newline
What is
P
(
8
P(8
P
(
8
or less than
8
)
8)
8
)
?
\newline
Choices:
\newline
(A)
60
%
60\%
60%
\newline
(B)
70
%
70\%
70%
\newline
(C)
100
%
100\%
100%
\newline
(D)
30
%
30\%
30%
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You pick a card at random.
\newline
456
456
456
\newline
What is
P
(
even or greater than
4
)
P(\text{even or greater than } 4)
P
(
even or greater than
4
)
?
\newline
Choices:
\newline
(A)
90
%
90\%
90%
\newline
(B)
100
%
100\%
100%
\newline
(C)
70
%
70\%
70%
\newline
(D)
130
%
130\%
130%
Get tutor help
You roll a
6
6
6
-sided die.
\newline
What is
P
(
odd or greater than
1
)
P(\text{odd or greater than } 1)
P
(
odd or greater than
1
)
?
\newline
Choices:
\newline
(A)
3
8
\frac{3}{8}
8
3
\newline
(B)
1
1
1
\newline
(C)
4
3
\frac{4}{3}
3
4
\newline
(D)
5
4
\frac{5}{4}
4
5
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You pick a card at random.
\newline
3456
3456
3456
\newline
What is
P
(
3
or less than
6
)
P(3 \text{ or less than } 6)
P
(
3
or less than
6
)
?
\newline
Write your answer as a percentage.
\newline
_
_
_
_
%
\_\_\_\_\%
____%
Get tutor help
You roll a
6
6
6
-sided die.
\newline
What is
P
P
P
(even or less than
6
6
6
)?
\newline
Choices:
\newline
(A)
50
%
50\%
50%
\newline
(B)
130
%
130\%
130%
\newline
(C)
100
%
100\%
100%
\newline
(D)
80
%
80\%
80%
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You pick a card at random.
\newline
1234
1234
1234
\newline
What is
P
(
even or less than
4
)
P(\text{even or less than } 4)
P
(
even or less than
4
)
?
\newline
Choices:
\newline
(A)
50
%
50\%
50%
\newline
(B)
80
%
80\%
80%
\newline
(C)
100
%
100\%
100%
\newline
(D)
130
%
130\%
130%
Get tutor help
You roll a
6
6
6
-sided die.
\newline
What is
P
(
6
or even
)
P(6 \text{ or even})
P
(
6
or even
)
?
\newline
Choices:
\newline
(A)
20
%
20\%
20%
\newline
(B)
90
%
90\%
90%
\newline
(C)
50
%
50\%
50%
\newline
(D)
70
%
70\%
70%
Get tutor help
You roll a
6
6
6
-sided die.
\newline
What is
P
(
5
P(5
P
(
5
or odd
)
?
)?
)?
\newline
Choices:
\newline
(A)
4
7
\frac{4}{7}
7
4
\newline
(B)
4
3
\frac{4}{3}
3
4
\newline
(C)
1
2
\frac{1}{2}
2
1
\newline
(D)
4
5
\frac{4}{5}
5
4
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You pick a card at random.
\newline
2345
2345
2345
\newline
What is
P
(
5
or
4
)
P(5 \text{ or } 4)
P
(
5
or
4
)
?
\newline
Choices:
\newline
(A)
3
7
\frac{3}{7}
7
3
\newline
(B)
2
5
\frac{2}{5}
5
2
\newline
(C)
1
6
\frac{1}{6}
6
1
\newline
(D)
1
2
\frac{1}{2}
2
1
Get tutor help
You roll a
6
6
6
-sided die.
\newline
What is
P
(
1
P(1
P
(
1
or less than
4
)
4)
4
)
?
\newline
Choices:
\newline
(A)
20
%
20\%
20%
\newline
(B)
70
%
70\%
70%
\newline
(C)
40
%
40\%
40%
\newline
(D)
50
%
50\%
50%
Get tutor help
You roll a
6
6
6
-sided die.
\newline
What is
P
(
5
or greater than
4
)
P(5 \text{ or greater than } 4)
P
(
5
or greater than
4
)
?
\newline
Choices:
\newline
(A)
2
7
\frac{2}{7}
7
2
\newline
(B)
1
8
\frac{1}{8}
8
1
\newline
(C)
5
6
\frac{5}{6}
6
5
\newline
(D)
1
3
\frac{1}{3}
3
1
Get tutor help
You flip a coin.
\newline
What is
P
(
tails or heads
)
P(\text{tails or heads})
P
(
tails or heads
)
?
\newline
Choices:
\newline
(A)
50
%
50\%
50%
\newline
(B)
80
%
80\%
80%
\newline
(C)
90
%
90\%
90%
\newline
(D)
100
%
100\%
100%
Get tutor help
You pick a card at random.
\newline
5678
5678
5678
\newline
What is
P
(
6
P(6
P
(
6
or greater than
7
)
7)
7
)
?
\newline
Choices:
\newline
(A)
1
4
\frac{1}{4}
4
1
\newline
(B)
2
7
\frac{2}{7}
7
2
\newline
(C)
1
2
\frac{1}{2}
2
1
\newline
(D)
3
2
\frac{3}{2}
2
3
Get tutor help
You roll a
6
6
6
-sided die.
\newline
What is
P
(
4
or even
)
P(4 \text{ or even})
P
(
4
or even
)
?
\newline
Choices:
\newline
(A)
1
2
\frac{1}{2}
2
1
\newline
(B)
1
9
\frac{1}{9}
9
1
\newline
(C)
4
3
\frac{4}{3}
3
4
\newline
(D)
1
3
\frac{1}{3}
3
1
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