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Mathematics
Mathematics
Problem
Events
A
A
A
,
B
B
B
,
C
C
C
and
D
D
D
occur in sequence. The following information is known:
P
(
A
)
=
0.30
P(A)=0.30
P
(
A
)
=
0.30
,
P
(
B
∣
A
)
=
0.50
P(B\mid A)=0.50
P
(
B
∣
A
)
=
0.50
,
P
(
C
)
=
0.40
P(C)=0.40
P
(
C
)
=
0.40
(event
C
C
C
is independent of both
A
A
A
and
B
B
B
), and
P
(
A
∩
B
∩
C
∩
D
)
=
0.018
P(A\cap B\cap C\cap D)=0.018
P
(
A
∩
B
∩
C
∩
D
)
=
0.018
. Find
P
(
D
∣
A
∩
B
∩
C
)
P(D\mid A\cap B\cap C)
P
(
D
∣
A
∩
B
∩
C
)
.
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