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JEE Main Math Class 12 Probability Part 1 Questions
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© examsnet.com
Question : 56
Total: 100
An experiment succeeds twice as often as it fails. The probability of at least 5 successes in the six trials of this experiment is:
[Online April 10, 2016]
496
729
192
729
240
729
256
729
Validate
Solution:
Let
p
(
F
)
=
p
⇒
p
(
S
)
=
2
p
∵
p
+
2
p
=
1
⇒
p
=
1
3
p
(
x
≥
5
)
=
p
(
x
=
5
)
+
p
(
x
=
6
)
=
6
C
5
(
2
3
)
5
(
1
3
)
1
+
6
C
5
(
2
3
)
6
(
1
3
)
0
=
(
2
3
)
5
(
6
×
1
3
+
2
3
)
=
256
729
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