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Mathematics
Problem
Which one of the following equalities gives the necessary and sufficient condition for two events
E
E
E
and
F
F
F
to be independent? a)
P
(
E
∩
F
)
=
0
P(E\cap F)=0
P
(
E
∩
F
)
=
0
b)
P
(
E
∩
F
)
=
P
(
E
)
P
(
F
)
P(E\cap F)=P(E)\,P(F)
P
(
E
∩
F
)
=
P
(
E
)
P
(
F
)
c)
P
(
E
∣
F
)
=
P
(
E
)
P(E\mid F)=P(E)
P
(
E
∣
F
)
=
P
(
E
)
d)
P
(
E
)
+
P
(
F
)
=
1
P(E)+P(F)=1
P
(
E
)
+
P
(
F
)
=
1
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