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Probability & Set Theory Worksheet

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2/3/25, 8:44 AM
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Question 1
Choose the correct answer.
A spinner with
letters from A to H is
rotated.
Let A represent the
event of getting a
vowel, and let B
represent the event
of getting a letter of
the word CAGED.
What is the value of
n (A ∪ B )
?
https://moe.alefed.com/teacher/?1738556361105#/activityConfig/preview/contentId/11bb2401-6e59-4a3d-824b-a8f160a8fdeb/classId/2fe777da-4ffc-4…
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7
2
3
5
Question 2
Fill in the blank.
A spinner with
numbers from 1 to
10 is rotated.
Let A represent the
event of getting an
odd number, and
let B represent the
event of getting a
multiple of 5.
Then,
A ∩B =
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{
5
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}
Question 3
Drag and drop the correct answer into the blank.
A spinner with
numbers from 1 to
10 is rotated.
Let A represent the
event of getting an
even number, and
let B represent the
event of getting a
multiple of 4.
Then,
P (A ∩ B ) =
1
5
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1
4
1
2
1
10
Question 4
Fill in the blank.
A spinner having the
letters from A to H is
rotated.
Let A represent the
event of getting a
vowel, and let B
represent the event
of getting a letter of
the word BAD.
Then,
A ∩B =
{
A
}
Question 5
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Select the correct answer.
A number cube with numbers from 1 to 6 is rolled.
Let A represent the event of getting a multiple of 2, and let B represent the event of getting a
multiple of 3.
Then,
A ∪B =
{2, 3, 4, 6}
Question 6
Drag and drop the correct answer into the blank.
A number generator randomly chooses an integer between 1 and 25.
Let A represent the event of getting a multiple of 2, and let B represent the event of getting a
multiple of 3.
Then,
P (A ∩ B ) =
4
25
8
25
12
25
4
5
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Question 7
Choose the correct answer.
A spinner having the
numbers from 1 to
10 is rotated.
Let A represent the
event of getting an
odd number, and
let B represent the
event of getting a
multiple of 3.
Then, what is the
value of
n (A ∪ B )
?
2
8
3
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6
Question 8
Select the correct answer.
A number generator randomly chooses an integer between 1 and 25.
Let A represent the event of getting a multiple of 4, and let B represent the event of getting a
multiple of 5.
Then,
A ∪B =
{4, 5, 8, 10, 12, 15, 16, 20, 24, 25}
Question 9
Drag and drop the correct answer into the blank.
The part of the diagram colored in gold represents the set
S ∩C
C ∪D
C ∩D
.
S ∩D
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Question 10
Drag and drop the correct answer into the blank.
The part of the diagram colored in gold represents the set
A ∩B
S ∪A
A ∪B
.
S ∪B
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Question 11
Select the correct answer.
A spinner with letters from A to H is rotated.
Let A represent the event of getting a vowel, and let B represent the event of getting a letter of
the word BAD.
Then,
A ∪B =
{A, B, D, E}
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Question 12
Drag and drop the correct answer into the blank.
A spinner with numbers from 1 to 10 is rotated.
Let A represent the event of getting an even number, and let B represent the event of getting a
multiple of 3.
Then,
P (A ∩ B ) =
1
10
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1
4
1
5
1
2
Question 13
Drag and drop the correct answer into the blank.
A number cube with numbers from 1 to 6 is rolled.
Let A represent the event of getting an even number, and let B represent the event of getting a
number greater than 3.
P (A ∩ B ) =
1
3
1
2
1
6
1
4
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Question 14
Drag and drop the correct answer into the blank.
A number generator randomly chooses an integer between 1 and 25.
Let A represent the event of getting a multiple of 5, and let B represent the event of getting a
number greater than 16.
Then,
P (A ∩ B ) =
2
25
1
5
4
25
12
25
Question 15
Choose the correct answer.
A number generator randomly chooses an integer between 1 and 25.
Let A represent the event of getting a multiple of 4, and let B represent the event of getting a
multiple of 6.
What is the value of
n (A ∪ B )
?
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6
4
10
8
Question 16
Choose the correct answer.
A spinner with letters from A to H is
rotated.
Let P represent the event of getting a
letter before E, and let Q represent the
event of getting a letter of the word
DEAF.
What is the value of
n (P ∪ Q )
?
https://moe.alefed.com/teacher/?1738556361105#/activityConfig/preview/contentId/11bb2401-6e59-4a3d-824b-a8f160a8fdeb/classId/2fe777da-4ffc-…
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2
6
7
8
Question 17
Fill in the blank.
A number cube with numbers from 1 to 6 is rolled.
Let A represent the event of getting a multiple of 2, and let B represent the event of getting a
multiple of 3.
A ∩B =
{
6
}
Question 18
Drag and drop the correct answer into the blank.
The part of the diagram colored in gold represents the set
C ∪D
.
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S ∪B
S ∪C
C ∩D
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