Math 110 Exam 2
Set Notation
Union and Intersection The union of sets 'A' and 'B' is the set containing the unique elements found in either set
'A' or set 'B', or both. In other words, "Bring all the elements together but discard
duplicates". A∪B={a, b, c, d, e, f, i, o, u, y}.
The intersection of sets 'A' and 'B' is the set containing the unique elements from both
set 'A' and set 'B'. In other words, to create an intersection, only select elements found
in both original sets, which are the duplicates discarded by the union operation. A∩B=
{a, e}
A^C (Compliment) A mutually exclusive pair of events are complements to each other. For example: If the
desired outcome is heads on a flipped coin, the complement is tails. The Complement
Rule states that the sum of the probabilities of an event and its complement must equal
1, or for the event A, P(A) + P(A') = 1.
n(A) Probability of A
Venn diagrams (shading and labeling)
Page 1 of 3
Set Notation
Union and Intersection The union of sets 'A' and 'B' is the set containing the unique elements found in either set
'A' or set 'B', or both. In other words, "Bring all the elements together but discard
duplicates". A∪B={a, b, c, d, e, f, i, o, u, y}.
The intersection of sets 'A' and 'B' is the set containing the unique elements from both
set 'A' and set 'B'. In other words, to create an intersection, only select elements found
in both original sets, which are the duplicates discarded by the union operation. A∩B=
{a, e}
A^C (Compliment) A mutually exclusive pair of events are complements to each other. For example: If the
desired outcome is heads on a flipped coin, the complement is tails. The Complement
Rule states that the sum of the probabilities of an event and its complement must equal
1, or for the event A, P(A) + P(A') = 1.
n(A) Probability of A
Venn diagrams (shading and labeling)
Page 1 of 3
