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Joint Entrance Examination
Mathematics
Probability
Question 152
Question 152 of 417
Medium
MCQ
If
A
(
x
,
y
)
A(x,y)
A
(
x
,
y
)
lies in the region bounded by the
y
y
y
-axis and the lines
2
y
+
x
=
6
2y+x=6
2
y
+
x
=
6
and
5
x
−
6
y
=
30
5x-6y=30
5
x
−
6
y
=
30
, the probability that
y
<
1
y<1
y
<
1
is
A
1
/
6
1/6
1/6
B
5
/
6
5/6
5/6
C
2
/
3
2/3
2/3
D
6
/
7
6/7
6/7
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Solutions · 1
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Official solution
Using the areas of the relevant regions: \[P = \frac{\frac12(8)(6)-\frac12(2)(4)}{\frac12(8)(6)} = \frac{24-4}{24}=\frac56\]
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