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MHT CET 2021 Math Solved Paper
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© examsnet.com
Question : 13
Total: 100
The probability of India winning a test match against South Africa is 1/2 assuming independence form match to match played. The probability that in a match series India's second win occurs at the third day is
1
8
1
2
1
4
2
3
Validate
Solution:
Given, probability of winning a test match,
P
(
W
)
=
1
2
Probability of lossing a match,
P
(
L
)
=
1
−
1
2
=
1
2
Probability that India's second win occurs at the third day
=
P
(
L
)
⋅
P
(
W
)
⋅
P
(
W
)
+
P
(
W
)
⋅
P
(
L
)
⋅
P
(
W
)
=
1
2
⋅
1
2
⋅
1
2
+
1
2
⋅
1
2
⋅
1
2
=
1
8
+
1
8
=
1
4
© examsnet.com
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