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CMAT Exam 2023 Shift 2 Solved Paper
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© examsnet.com
Question : 11
Total: 100
What is the probability of getting a sum of 22 or more when four dice are thrown?
5
432
4
648
1
144
7
36
Validate
Solution:
Sum is 24 : The only possibility is
(
6
,
6
,
6
,
6
)
⇒ 1 way
Sum is 23 : The only possibility is
(
6
,
6
,
6
,
5
)
⇒
4
!
3
!
=
4
ways
Sum is 22 : There are two possibilities, i.e.
(
6
,
6
,
6
,
4
)
and
(
6
,
6
,
5
,
5
)
(
6
,
6
,
6
,
4
)
⇒
4
!
3
!
=
4
ways
(
6
,
6
,
5
,
5
)
⇒
4
!
2
!
2
!
=
6
ways
Total number of ways satisfying the given condition
=
1
+
4
+
4
+
6
=
15
Total number of possibilities
=
(
6
)
(
6
)
(
6
)
(
6
)
Required probability
=
15
1296
=
5
432
The answer is option A.
© examsnet.com
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