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Mathematics
Mathematics
Problem
For two events
A
A
A
and
B
B
B
, which of the following relations must hold if the events are independent? a)
P
(
A
∩
B
)
=
P
(
A
)
+
P
(
B
)
P(A\cap B)=P(A)+P(B)
P
(
A
∩
B
)
=
P
(
A
)
+
P
(
B
)
b)
P
(
A
∩
B
)
=
P
(
A
)
P
(
B
)
P(A\cap B)=P(A)P(B)
P
(
A
∩
B
)
=
P
(
A
)
P
(
B
)
c)
P
(
A
∪
B
)
=
P
(
A
)
+
P
(
B
)
P(A\cup B)=P(A)+P(B)
P
(
A
∪
B
)
=
P
(
A
)
+
P
(
B
)
d)
P
(
A
∩
B
)
=
0
P(A\cap B)=0
P
(
A
∩
B
)
=
0
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