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Joint Entrance Examination
Mathematics
Probability
Question 273
Question 273 of 417
Easy
MCQ
P
(
A
)
=
1
4
P(A)=\dfrac14
P
(
A
)
=
4
1
,
P
(
A
∣
B
)
=
1
2
P(A\mid B)=\dfrac12
P
(
A
∣
B
)
=
2
1
,
P
(
B
∣
A
)
=
2
3
P(B\mid A)=\dfrac23
P
(
B
∣
A
)
=
3
2
. Find
P
(
B
)
P(B)
P
(
B
)
.
A
1
/
6
1/6
1/6
B
1
/
3
1/3
1/3
C
2
/
3
2/3
2/3
D
1
/
2
1/2
1/2
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Official solution
\[P(A\cap B) = P(A)P(B\mid A) = \frac14\times\frac23=\frac16 = P(B)\times\frac12 \implies P(B)=\frac13\]
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