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Mathematics
Problem
Which of the following gives
P
(
A
∩
B
)
P(A\cap B)
P
(
A
∩
B
)
solely in terms of
P
(
A
)
P(A)
P
(
A
)
and
P
(
B
∣
A
)
P(B\mid A)
P
(
B
∣
A
)
for two events
A
A
A
and
B
B
B
with
P
(
A
)
≠
0
P(A)\neq 0
P
(
A
)
=
0
? a)
P
(
A
)
+
P
(
B
∣
A
)
−
P
(
A
)
P
(
B
∣
A
)
P(A)+P(B\mid A)-P(A)\,P(B\mid A)
P
(
A
)
+
P
(
B
∣
A
)
−
P
(
A
)
P
(
B
∣
A
)
b)
P
(
A
)
(
1
−
P
(
B
∣
A
)
)
P(A)\bigl(1-P(B\mid A)\bigr)
P
(
A
)
(
1
−
P
(
B
∣
A
)
)
c)
P
(
A
)
P
(
B
∣
A
)
P(A)\,P(B\mid A)
P
(
A
)
P
(
B
∣
A
)
d)
(
1
−
P
(
A
)
)
P
(
B
∣
A
)
(1-P(A))\,P(B\mid A)
(
1
−
P
(
A
))
P
(
B
∣
A
)
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