I’m friends with 25 letters of the alphabet!
Clues
A total of 12 students play an instrument
A total of 18 students play a sport
4 students play an instrument and a sport
7 students play neither a sport nor an instrument
M
=
S
Use the clues to complete the Venn Diagrams
Each time you answer a question, cross out
the letter above the answer in the grid
The remain letters spell out the solution
•
•
•
Clues
35 people were surveyed
16 people own a dog
18 people own a cat
13 people own a bird
M = plays a musical instrument
S = plays a sport
9 people own a cat and a bird
7 people own a dog and a cat
6 people own a dog and a bird
4 people own a cat, a dog and a bird
=
D
Questions
1. How many students are in the class?
2. How many students play an instrument but not a sport?
3. What percentage of students don’t play a sport or an
instrument?
4. What percentage of sporting students don’t play an
instrument?
5. What is the probability that a randomly selected student
plays a musical instrument?
6. What is the probability that a student plays a musical
instrument given they play a sport?
Questions
1. How many people own just a dog?
2. How many don’t own a cat a dog or a
bird?
3. How many people don’t own a bird?
4. How many people don’t own a bird or a
dog?
5. What percentage of cat owners also own
a dog?
6. What percentage of bird owners don’t
own a cat?
7. What is the probability that someone
selected at random owns neither a cat, a
dog nor a bird?
8. What is the probability that randomly
selected dog owner also owns a cat?
9. What is the probability of selecting a bird
owner given they don’t own a dog?
10. What is the probability that a dog owner
has a bird and a cat?
B
C
D = owns a dog, C = owns a cat, B = owns a bird
I
A
D
W
O
N
N
E
‘
G
T
K
I
T
N
G
O
R
Z
O
W
E
E
N
Y
O
U
55
%
21
%
67
33
88
16
78
%
6
45
8
76
10
%
22
25
%
16
12
98
%
39
%
37
%
36
%
49
%
31
%
17
%
22
%
5
44
%
7
Mr Thompson
I’m friends with 25 letters of the alphabet!
Clues
A total of 12 students play an instrument
A total of 18 students play a sport
4 students play an instrument and a sport
7 students play neither a sport nor an instrument
M
= 33
S
Use the clues to complete the Venn Diagrams
Each time you answer a question, cross out
the letter above the answer in the grid
The remain letters spell out the solution
•
•
•
8
4
Clues
35 people were surveyed
16 people own a dog
18 people own a cat
13 people own a bird
14
55
%
D
21
%
67
33
O
N
88
16
= 35
D
Questions
1. How many students are in the class? 33
2. How many students play an instrument but not a sport? 8
3. What percentage of students don’t play a sport or an
instrument? 21%
4. What percentage of sporting students don’t play an
instrument? 78%
5. What is the probability that a randomly selected student
plays a musical instrument? 36%
6. What is the probability that a student plays a musical
instrument given they play a sport? 22%
I
9 people own a cat and a bird
7 people own a dog and a cat
6 people own a dog and a bird
4 people own a cat, a dog and a bird
7
M = plays a musical instrument
S = plays a sport
‘
78
%
6
45
8
Questions
1. How many people own just a dog? 7
2. How many don’t own a cat a dog or a
bird? 6
3. How many people don’t own a bird? 22
4. How many people don’t own a bird or a
dog? 12
5. What percentage of cat owners also own
a dog? 39%
6. What percentage of bird owners don’t
own a cat? 31%
7. What is the probability that someone
selected at random owns neither a cat, a
dog nor a bird? 17%
8. What is the probability that a randomly
selected dog owner also owns a cat? 44%
9. What is the probability of selecting a bird
owner given they don’t own a dog? 37%
10. What is the probability that a dog owner
has a bird and a cat? 25%
7
3
6
C
2
B
4
2
5
6
D = owns a dog, C = owns a cat, B = owns a bird
T
K
76
10
%
N
22
25
%
16
O
12
98
%
W
39
%
37
%
36
%
49
%
Y
31
%
17
%
22
%
5
44
%
7