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JEE Main Math Class 12 Probability Part 2 Questions
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© examsnet.com
Question : 4
Total: 95
The coefficients
a
,
b
,
c
in the quadratic equation
a
x
2
+
b
x
+
c
=
0
are from the set
{
1
,
2
,
3
,
4
,
5
,
6
}
. If the probability of this equation having one real root bigger than the other is
p
, then
216
p
equals :
[5 Apr 2024 Shift 2]
57
38
19
76
Validate
Solution:
👈: Video Solution
D
>
0
b
2
>
4
ac
b
=
3
:
(
a
,
c
)
=
(
1
,
1
)
(
1
,
2
)
(
2
,
1
)
b
=
4
:
(
a
,
c
)
=
(
1
,
1
)
(
1
,
2
)
(
2
,
1
)
(
1
,
3
)
(
3
,
1
)
b
=
5
:
(
a
,
c
)
=
(
1
,
1
)
(
1
,
2
)
(
2
,
1
)
(
1
,
3
)
(
3
,
1
)
(
1
,
4
)
(
4
,
1
)
(
1
,
5
)
(
5
,
1
)
(
1
,
6
)
(
6
,
1
)
(
2
,
3
)
(
3
,
2
)
(
2
,
2
)
b
=
6
:
(
a
,
c
)
=
(
1
,
1
)
(
1
,
2
)
(
2
,
1
)
(
1
,
3
)
(
3
,
1
)
(
1
,
4
)
(
4
,
1
)
(
1
,
5
)
(
5
,
1
)
(
1
,
6
)
(
6
,
1
)
(
2
,
3
)
(
3
,
2
)
(
2
,
4
)
(
4
,
2
)
(
2
,
2
)
fav. cases
=
38
Prob. :
38
6
×
6
×
6
© examsnet.com
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