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Mathematics
Mathematics
Problem
Which of the following sets of values is consistent with events
A
A
A
and
B
B
B
being independent? a)
P
(
A
)
=
0.4
,
P
(
B
)
=
0.7
,
P
(
A
∩
B
)
=
0
P(A)=0.4,\;P(B)=0.7,\;P(A\cap B)=0
P
(
A
)
=
0.4
,
P
(
B
)
=
0.7
,
P
(
A
∩
B
)
=
0
b)
P
(
A
)
=
0.6
,
P
(
B
)
=
0.5
,
P
(
A
∩
B
)
=
0.3
P(A)=0.6,\;P(B)=0.5,\;P(A\cap B)=0.3
P
(
A
)
=
0.6
,
P
(
B
)
=
0.5
,
P
(
A
∩
B
)
=
0.3
c)
P
(
A
)
=
0.6
,
P
(
B
)
=
0.5
,
P
(
A
∩
B
)
=
0.25
P(A)=0.6,\;P(B)=0.5,\;P(A\cap B)=0.25
P
(
A
)
=
0.6
,
P
(
B
)
=
0.5
,
P
(
A
∩
B
)
=
0.25
d)
P
(
A
)
=
0.6
,
P
(
B
)
=
0.5
,
P
(
A
∩
B
)
=
0.1
P(A)=0.6,\;P(B)=0.5,\;P(A\cap B)=0.1
P
(
A
)
=
0.6
,
P
(
B
)
=
0.5
,
P
(
A
∩
B
)
=
0.1
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