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Mathematics
Mathematics
Problem
For two events
A
A
A
and
B
B
B
, which of the following equalities must hold if and only if
A
A
A
and
B
B
B
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
)
=
0
P(A\cap B)=0
P
(
A
∩
B
)
=
0
d)
P
(
A
∣
B
)
=
P
(
B
)
P(A\mid B)=P(B)
P
(
A
∣
B
)
=
P
(
B
)
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