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Mathematics
Mathematics
Problem
Three events
A
A
A
,
B
B
B
, and
C
C
C
occur in succession. If
P
(
A
)
=
0.8
P(A)=0.8
P
(
A
)
=
0.8
,
P
(
B
∣
A
)
=
0.5
P(B\mid A)=0.5
P
(
B
∣
A
)
=
0.5
, and
P
(
C
∣
A
∩
B
)
=
0.4
P(C\mid A\cap B)=0.4
P
(
C
∣
A
∩
B
)
=
0.4
, then
P
(
A
∩
B
∩
C
)
P(A\cap B\cap C)
P
(
A
∩
B
∩
C
)
is a)
0.32
0.32
0.32
b)
0.40
0.40
0.40
c)
0.16
0.16
0.16
d)
0.20
0.20
0.20
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