Venn Diagram Basics
Name: _____________________________
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1. Given the universal set, Set U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.
-- determine the elements of the following subsets
-- draw a Venn diagram of the subset
-- determine the probability
-- shade the required region
a) Set B = the multiples of 4 = ___________________
b) Set F = # less than 5 = ___________________
SHADE P(the multiples of 4)
SHADE P(# less than 5)
P(the multiples of 4) = _______
P(# less than 5) = _______
c) Set P = prime #’s = ___________________
d) Set K = even numbers = ___________________
SHADE P(prime #’s)c
SHADE P(even numbers)c
P(prime #’s)c = _______
P(even numbers)c = _______
2. Determine the probability.
a) P(A) = 0.4
P(Ac) = ______
b) P(A) = 0.78 P(Ac) = ______
c) P(A) =
3
7
P(Ac) = ______
3. Given the universal set U = natural numbers from 1 to 20, determine which of the following diagrams
represents the relationship of the two defined subsets.
Relationship #1
Relationship #2
Relationship #3
Relationship #4
a) Set A = even numbers
Set B = odd numbers
Relationship # ______
b) Set A = factors of 12
Set B = factors of 10
Relationship # ______
c) Set A = even numbers
Set B = {2, 8, 10}
Relationship # ______
d) Set A = multiples of 3
Set B = Factors of 14
Relationship # ______
e) Set A = numbers < 5
Set B = numbers < 10
Relationship # ______
f) Set A = digits in the date 1964
Set B = numbers divisible by 3
Relationship # ______
HSS-CP.A.1 WORKSHEET #4 – PATTERSON
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4. Given the universal set, Set U = numbers 1 to 20
-- determine the elements of the following subsets
-- draw a Venn diagram of the two subsets
-- determine if they are mutually exclusive or not
-- determine the intersection
-- determine some probabilities
-- shade the required region
a) Set A = the multiples of 6 = ___________________
b) Set A = multiples of 5 = ___________________
Set B = # greater than 16 = ___________________
Set B = multiples of 7 = ___________________
Mutually Exclusive?
Yes or No
Mutually Exclusive?
Yes or No
P(multiple of 6) = ________
P(multiple of 7) = ________
P(# greater than 16) = ________
P(multiple of 5) = ________
What is Set A  Set B? __________
What is Set A  Set B?__________
P(multiple of 6 and greater than 16) = ______
P(multiple of 5 and multiple of 7) = ______
What is Set A  Set B? _________________
What is Set A  Set B? _________________
P(multiple of 6 or greater than 16) = ______
P(multiple of 5 or multiple of 7) = ______
c) Set A = factors of 8 = ___________________
Set B = factors of 18 = ___________________
Mutually Exclusive?
Yes or No
d) Set A = odd numbers = ___________________
Set B = multiples of 11 = ___________________
Mutually Exclusive?
Yes or No
P(factor of 18)c = ________
P(multiple of 11)c = ________
What is Set A  Set B? __________
What is Set A  Set B? __________
P(factor of 8 and factor 18) = ______
P(multiple of 11 and odd number) = ______
What is Set A  Set B? _______________________
What is Set A  Set B? _______________________
P(factor of 8 or factor 18) = ______
P(multiple of 11 or odd number) = ______
HSS-CP.A.1 WORKSHEET #4 – PATTERSON
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5. Given the bag of marbles
a) Draw the Venn Diagram for: Set R (Red) & Set E (Evens)
b) Shade (Red and Even)
c) Determine the probabilities.
P(Even) = _______
P(Red)c = _______
P(Red and Even) = _______ P(Red or Even) = _______
d) Draw the Venn Diagram for: Set W (White) & Set F (5)
e) Shade P(White or 5)
f) Determine the probabilities.
P(White) = _______
P(White and 5) = _______
6. Shade the region.
a) Set A
P(5)c = _______
P(White or 5) = _______
b) Set A  Set B
(A AND B)
c) Set Bc
(NOT B)
d) Set A  Set Bc
(A AND Not B)
e) Set A  Set B
(A OR B)
f) Set B  Set Ac
(B OR Not A)
g) (Set A  Set B)c
Not (A OR B)
h) Set B  Set Ac
(B AND Not A)
7. Place the values in the Venn diagram and determine the missing probability.
a) P(A AND B) = 0.12
b) P(A AND B) = 0.25
P(A) = 0.53
P(B) = 0.70
P(A AND Not B) = ______
P(B AND Not A) = ______
c) P(A OR B) = 0.7
d) P(A OR B) = 0.8
P(A) = 0.53,
P(B) = 0.37,
P(B AND Not A) = ______
P(A AND Not B) = ______