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22H Sets and Venn Diagrams

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Amiee Jensen

on 18 May 2017

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Transcript of 22H Sets and Venn Diagrams

22H Sets and Venn Diagrams
STOP BOX
Venn Diagrams
Useful way to represent events in a sample space.
Recall,
U
represents the sample space or universal set and
A'
represents the complement to
A
, or everything that is not
A.
Set Notation
Set Notation continued..
denotes the
intersection
of
A
and
B
. This set contains all of the elements
common
to both sets.
THE OVERLAP!
Set Notation continued..
denotes the
union
of A and B. This set contains all of the elements in A
or
B
or
both.
Set Notation continued..
Disjointed
sets have no elements in common.
The events are said to
mutually exclusive
.
<- The empty set.
Example 1
(22H.1 #4 from the textbook)
Example 2
Survey of 32 students found that 20 students enjoy skittles, 18 like skittles and m&ms, and 3 would not like either candy.
Display this information in a Venn diagram.
Determine the probability that a randomly selected student:
a) likes only m&ms
b) likes both types of candy
c) likes only m&ms OR skittles, not both
Describe the difference between union and intersection when it comes to set notation.
STOP BOX
22H.1 Practice Assignment

22H.2 Practice Assignment
2, 3, 5-8, 10, 11
1
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