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GATE Mechanical Engineering (ME) 2018 Shift 2 Solved Paper
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© examsnet.com
Question : 8
Total: 65
An unbiased coin is tossed six times in a row and four different such trials are conducted. One trial implies six tosses of the coin. If
H
stands for head and
T
stands for tail, the following are the observations from the four trials:
(1) HTHTHT
(2) TTHHHT
(3) HTTHHT
(4) HHHT
Which statement describing the last two coin tosses of the fourth trial has the highest probability of being correct?
Two T will occur.
One H and one T will occur.
Two H will occur.
One H will be followed by one T .
Validate
Solution:
Since the coin is unbiased, the probability of getting heads is equal of tail.
In unbiased coin previous trials does not matter
Probability of getting both heads
=
1
2
×
1
2
=
1
4
Probability of getting a head and a tail(
H
T
+
T
H
)
=
2
×
1
2
×
1
2
=
1
2
Probability of getting both tails
=
1
2
×
1
2
=
1
4
© examsnet.com
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