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Mathematics
Problem
For any two events
E
E
E
and
F
F
F
with
P
(
E
)
>
0
P(E)>0
P
(
E
)
>
0
, which of the following correctly expresses
P
(
E
∩
F
)
P(E\cap F)
P
(
E
∩
F
)
in terms of the conditional probability
P
(
F
∣
E
)
P(F\mid E)
P
(
F
∣
E
)
? a)
P
(
E
)
P
(
F
∣
E
)
P(E)\,P(F\mid E)
P
(
E
)
P
(
F
∣
E
)
b)
P
(
F
)
P
(
E
∣
F
)
P(F)\,P(E\mid F)
P
(
F
)
P
(
E
∣
F
)
c)
P
(
E
)
P
(
F
)
P(E)\,P(F)
P
(
E
)
P
(
F
)
d)
P
(
F
∣
E
)
P(F\mid E)
P
(
F
∣
E
)
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