Assignment: Venn Diagrams and Probability
1. In a family of six, everybody plays football or hockey. 4 members of the family play
both sports. 1 member of the family plays only hockey.
a) Draw a Venn diagram to show set A (members play football) and set B(member
play hockey).
b) How many play only football?
c) What is the probability that a person play hockey or football?
2. Fifty people were asked whether they owned a VHS camcorder, an 8mm camcorder or
both. The results are shown in the Venn diagram below.
8mm
camcorder
VHS
13
19
18
a)
b)
c)
d)
e)
How many people owned a VHS only?
How many people owned a VHS?
How many people owned a VHS and an 8mm camcorder?
How many people owned a VHS or an 8mm camcorder?
How many people did not own a camcorder? How does the diagram show this?
3. John’s mom buys 5 portions of fries. All the portions have salt or vinegar on them.
Some have salt and vinegar. There are 2 portions with salt and vinegar. There is 1
portion with only vinegar.
a)
b)
c)
d)
e)
Draw a Venn diagram to show set A (salt) and set B (vinegar).
How many portions have only salt on them?
How many portions have salt and vinegar?
What is the probability that a portion has salt and vinegar?
P(salt) = ?
4. The diagram represents a class of children. G is the set of girls and F is the set of
children who like football. Make 4 copies of this diagram and shade the part that
represents
a) girls who like football
b) girls who dislike football
c) boys who like football
d) boys who do not like football
5. In a class of 32 pupils, 20 say that they like pancakes and 14 say that they like maple
syrup. There are 6 pupils who do not like either.
a) Draw a Venn diagram with set A (pancakes) and set B (maple syrup).
b) How many of them like both pancakes and maple syrup?
c) What is the probability that a pupil likes pancakes or maple syrup?
6. There are 20 people in a room. Of these, 15 are holding newspapers and 8 are wearing
glasses. Everyone wears glasses or holds a newspaper.
a) Draw a Venn diagram to show this (set A is holding newspapers, set B are
wearing glasses).
b) How many people are wearing glasses and holding a newspaper?
c) P(glasses) =?
d) P(newspapers or glasses) = ?
e) P(not glasses) = ?
7. Draw a Venn diagram for the question below.