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Joint Entrance Examination
Mathematics
Probability
Question 195
Question 195 of 417
Easy
MCQ
A
,
B
A,B
A
,
B
independent with
P
(
A
)
=
1
3
,
P
(
B
)
=
1
6
P(A)=\dfrac13,P(B)=\dfrac16
P
(
A
)
=
3
1
,
P
(
B
)
=
6
1
. Which is TRUE?
A
P
(
A
/
B
)
=
2
3
P(A/B)=\dfrac23
P
(
A
/
B
)
=
3
2
B
P
(
A
/
B
′
)
=
1
3
P(A/B')=\dfrac13
P
(
A
/
B
′
)
=
3
1
C
P
(
A
′
/
B
′
)
=
1
3
P(A'/B')=\dfrac13
P
(
A
′
/
B
′
)
=
3
1
D
P
(
A
/
(
A
∪
B
)
)
=
1
4
P(A/(A\cup B))=\dfrac14
P
(
A
/
(
A
∪
B
))
=
4
1
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Official solution
By independence,
P
(
A
∣
B
′
)
=
P
(
A
)
=
1
3
P(A\mid B')=P(A)=\dfrac13
P
(
A
∣
B
′
)
=
P
(
A
)
=
3
1
.
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