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Mathematics
Problem
Let events A and B satisfy
P
(
A
)
=
0.6
P(A)=0.6
P
(
A
)
=
0.6
,
P
(
B
)
=
p
P(B)=p
P
(
B
)
=
p
and
P
(
A
∣
B
)
=
0.75
P(A\mid B)=0.75
P
(
A
∣
B
)
=
0.75
, where
0
<
p
<
1
0<p<1
0
<
p
<
1
. Express the following in terms of
p
p
p
: a. (i)
P
(
A
∩
B
)
P(A\cap B)
P
(
A
∩
B
)
b. (ii)
P
(
B
∣
A
)
P(B\mid A)
P
(
B
∣
A
)
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