Ch 1 - General Probability Flashcards
element
is a possible outcome of an experiment
is a possible outcome of an experiment
element
set
is a collection of zero or more elements
is a collection of zero or more elements
set
Venn Diagram
also called set diagram which shows relationship between a finite number of sets
also called Set Diagram which shows relationships between a finite number of sets
Venn Diagram
Set Diagram
Venn Diagram
Sample Space
is the collection of all possible outcomes
is the collection of all possible outcomes
Sample Space
Event
is a subset of the Sample Space - in words
is a subset of the Sample Space - in words
Event
Union
of multiple sets is the set of all elements that are contained in at least one of the sets.
-Union of two events, F and G, is the events that either F, or G, or both F and G occur.
Intersection
multiple sets is the set of elements that are common for each set
Difference
between set F and set G is the set containing all the elements that are in F but not in G
d’n: F - G
between set F and set G is the set containing all the elements that are in F but not in G
d’n: F - G
Difference
Mutually Exclusive
M and N are mutually exclusive if they cannot occur at the same time
Disjoint also called
Mutually Exclusive
Complement of set T
- all the elements not in T
- is the set containing all of the elements in the sample space except the elements that are in T
If A ⊂ B then
Pr(A) ≤ Pr(B)
Pr(A | B) =
Pr(A ∩ B)
/
Pr(B)
Pr(A’ | B) =
Pr(A’ ∩ B)
/
Pr(B)
Pr(A | B) + Pr(A’ | B) =
[Pr(A ∩ B) + Pr(A’ ∩ B)]
/
Pr(B)
=
1
Pr(A | B) • Pr(B)
Pr(A ∩ B)
True or False
Pr(A ∩ B) = Pr(B ∩ A)
TRUE
