An experiment can result in one of five equally likely simpleevents,
E1, E2, , E5.
Events A, B,and C are defined as follows.
Find the probabilities associated with the following events bylisting the simple events in each.
(a)
AC
List the simple events in
AC.
AC =
Find
P(AC).
P(AC) =
(b)
A ∩ B
List the simple events in
A ∩ B.
A ∩ B =
Find
P(A ∩ B).
P(A ∩ B) =
(c)
B ∩ C
List the simple events in
B ∩ C.
B ∩ C =
Find
P(B ∩ C).
P(B ∩ C) =
(d)
A ∪ B
List the simple events in
A ∪ B.
A ∪ B =
Find
P(A ∪ B).
P(A ∪ B) =
(e)
B|C
List the simple events in
B|C.
B|C =
Find
P(B|C).
P(B|C) =
(f)
A|B
List the simple events in
A|B.
A|B =
Find
P(A|B).
P(A|B) =
(g)
A ∪ B ∪ C
List the simple events in
A ∪ B ∪ C.
A ∪ B ∪ C =
Find
P(A ∪ B ∪ C).
P(A ∪ B ∪ C) =
(h)
(A ∩ B)C
List the simple events in
(A ∩ B)C.
(A ∩ B)C =
Find
P((A ∩ B)C).
P((A ∩ B)C) =
An experiment can result in one of five equally likely simple events, E1, E2, , E5. Events A, B, and C are defined as
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