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Mathematics
Mathematics
Problem
Which of the following relations must hold for two events
E
E
E
and
F
F
F
to be independent? a)
P
(
E
∩
F
)
=
P
(
E
)
+
P
(
F
)
P(E\cap F)=P(E)+P(F)
P
(
E
∩
F
)
=
P
(
E
)
+
P
(
F
)
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
(
F
)
P(E\cup F)=P(E)P(F)
P
(
E
∪
F
)
=
P
(
E
)
P
(
F
)
d)
P
(
E
∣
F
)
=
P
(
E
)
P
(
F
)
P(E\mid F)=\dfrac{P(E)}{P(F)}
P
(
E
∣
F
)
=
P
(
F
)
P
(
E
)
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