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Joint Entrance Examination
Mathematics
Probability
Question 221
Question 221 of 417
Easy
MCQ
Let
A
,
B
A,B
A
,
B
be non-null events with
A
⊂
B
A\subset B
A
⊂
B
. Which statement is always correct?
A
P
(
A
∣
B
)
=
P
(
B
)
−
P
(
A
)
P(A\mid B)=P(B)-P(A)
P
(
A
∣
B
)
=
P
(
B
)
−
P
(
A
)
B
P
(
A
∣
B
)
≥
P
(
A
)
P(A\mid B)\ge P(A)
P
(
A
∣
B
)
≥
P
(
A
)
C
P
(
A
∣
B
)
≤
P
(
A
)
P(A\mid B)\le P(A)
P
(
A
∣
B
)
≤
P
(
A
)
D
P
(
A
∣
B
)
=
1
P(A\mid B)=1
P
(
A
∣
B
)
=
1
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Solutions · 1
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Official solution
Since
A
⊂
B
A\subset B
A
⊂
B
,
A
∩
B
=
A
A\cap B=A
A
∩
B
=
A
, so
P
(
A
∣
B
)
=
P
(
A
)
P
(
B
)
≥
P
(
A
)
P(A\mid B)=\dfrac{P(A)}{P(B)}\ge P(A)
P
(
A
∣
B
)
=
P
(
B
)
P
(
A
)
≥
P
(
A
)
(as
P
(
B
)
≤
1
P(B)\le1
P
(
B
)
≤
1
).
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