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Joint Entrance Examination
Mathematics
Probability
Question 266
Question 266 of 417
Easy
MCQ
C
⊂
D
C\subset D
C
⊂
D
,
P
(
D
)
≠
0
P(D)\ne0
P
(
D
)
=
0
. Find the correct statement.
A
P
(
C
∣
D
)
≥
P
(
C
)
P(C\mid D)\ge P(C)
P
(
C
∣
D
)
≥
P
(
C
)
B
P
(
C
∣
D
)
<
P
(
C
)
P(C\mid D)<P(C)
P
(
C
∣
D
)
<
P
(
C
)
C
P
(
C
∣
D
)
=
P
(
D
)
P
(
C
)
P(C\mid D)=\dfrac{P(D)}{P(C)}
P
(
C
∣
D
)
=
P
(
C
)
P
(
D
)
D
P
(
C
∣
D
)
=
P
(
C
)
P(C\mid D)=P(C)
P
(
C
∣
D
)
=
P
(
C
)
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Official solution
P
(
C
∣
D
)
=
P
(
C
∩
D
)
P
(
D
)
=
P
(
C
)
P
(
D
)
≥
P
(
C
)
P(C\mid D)=\dfrac{P(C\cap D)}{P(D)}=\dfrac{P(C)}{P(D)}\ge P(C)
P
(
C
∣
D
)
=
P
(
D
)
P
(
C
∩
D
)
=
P
(
D
)
P
(
C
)
≥
P
(
C
)
since
P
(
D
)
≤
1
P(D)\le1
P
(
D
)
≤
1
.
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