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Mathematics
Problem
Which of the following equalities gives the necessary and sufficient condition for two events
A
A
A
and
B
B
B
to be 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
(
A
)
P
(
B
)
P(A\cap B)=\dfrac{P(A)}{P(B)}
P
(
A
∩
B
)
=
P
(
B
)
P
(
A
)
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