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JEE Main Math Class 12 Probability Part 2 Questions
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© examsnet.com
Question : 44
Total: 95
Fifteen football players of a club-team are given 15 T-shirts with their names written on the backside. If the players pick up the
T
-shirts randomly, then the probability that at least 3 players pick the correct
T
-shirt is
[29-Jan-2023 Shift 1]
5
24
2
15
1
6
5
36
Validate
Solution:
Required probability
=
1
−
D
(
15
)
+
15
C
1
⋅
D
(
14
)
+
15
C
2
D
(
13
)
15
!
Taking
D
(
15
)
as
15
!
e
D
(
14
)
as
14
!
e
D
(
13
)
as
13
!
e
We get,
1
−
(
15
!
e
+
15
⋅
14
!
e
+
15
×
14
2
×
13
!
e
15
!
)
=
1
−
(
1
e
+
1
e
+
1
2
e
)
=
1
−
5
2
e
≈
.08
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