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Unformatted text preview: Let B be the event that the
ﬁrst 2 tosses are tails. Let C be the event that all 3 tosses
are tails. What are A ∩ B , A ∪ C , and (A ∩ B ) ∪ C ?
Solution. Venn Diagrams;
Probability Laws Set Operations
and Relations
Venn Diagram 2.4 Notes Logical Relationships among Sets
Mutually exclusive: refers to two (or more) events
that cannot both occur when the random experiment
is formed.
A∩B =∅ Venn Diagrams;
Probability Laws Notes Set Operations
and Relations
Venn Diagram Exhaustive: refers to event(s) that comprise the
sample space.
A∪B =Ω
Partition: events that are both mutually exclusive and
exhaustive.
A∩B =∅ and A ∪ B = Ω 2.5 Venn Diagrams;
Probability Laws Complement Rule
The complement rule is a way to calculate a probability
based on the probability of its complement.
1 By the deﬁnition of complement
A ∪ Ac = Ω Set Operations
and Relations
Venn Diagram 2 Apply the probability operator
P(A ∪ Ac ) = P(Ω) = 1 3 Since A and Ac are mutually exclusive
P(A ∪ Ac ) = P(A) + P(Ac )...
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This note was uploaded on 01/24/2014 for the course STAT 225 taught by Professor Martin during the Spring '08 term at Purdue.
 Spring '08
 MARTIN
 Probability

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