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IBPS RRB Office Assistant 2020 Paper
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© examsnet.com
Question : 69
Total: 80
A bag contains 13 white and 7 black balls. Two balls are drawn at random. What is the probability that they are of the same colour?
41
190
21
190
59
190
99
190
77
190
Validate
Solution:
Total ball in the bag = 13 + 7 = 20
∴
n
(
S
)
=
20
C
2
=
20
!
2
!
18
!
=
20
×
19
×
18
!
2
×
18
!
=
190
and for same colour of ball
n
(
E
1
)
=
13
C
2
=
13
!
2
!
11
!
=
13
×
12
×
11
!
2
×
11
!
=
13
×
12
2
=
78
and
n
(
E
2
)
=
7
C
2
=
7
!
2
!
5
!
=
7
×
6
×
5
!
2
×
5
!
=
7
×
6
2
=
21
∴ Required probability for same colour of ball
P
(
E
)
=
n
(
E
1
)
+
n
(
E
2
)
n
(
S
)
=
78
+
21
190
=
99
190
© examsnet.com
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