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JEE Advanced 2020 Full Test 6 Paper 2
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© examsnet.com
Question : 49
Total: 54
A fair coin is tossed
n
times. Let
X
=
then number of times head occurs.
If
P
(
X
=
4
)
,
P
(
X
=
5
)
and
P
(
X
=
6
)
are in
A
P
,
then the value of
n
can be
7
10
12
14
Validate
Solution:
∴
P
(
X
=
4
)
,
P
(
X
=
5
)
and
P
(
X
=
6
)
are in
A
P
∴
2
P
(
X
=
5
)
=
P
(
X
=
4
)
+
P
(
X
=
6
)
⇒
2
=
P
(
X
=
4
)
P
(
X
=
5
)
+
P
(
X
=
6
)
P
(
X
=
5
)
2
=
n
C
4
n
C
5
+
n
C
j
n
C
s
⇒
n
2
−
21
n
+
98
=
0
∴
n
=
7
,
14
© examsnet.com
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