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Byju's Answer
Standard X
Mathematics
Probability
A fair die is...
Question
A fair die is tossed eight times. Probability that on the eighth throw a third six is observed is
A
8
C
3
5
8
6
8
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B
7
C
2
5
5
6
8
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C
7
C
2
5
5
6
7
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D
None of these
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Solution
The correct option is
B
7
C
2
5
5
6
8
on the eight throw third six must appear, which implies that on first seven throws there must be two six.
probability of getting
6
is
1
/
6
and probability of not getting
6
is
5
/
6
.
we must get two six in seven throws,
so the probability is
7
C
2
(
1
/
6
)
2
(
5
/
6
)
5
.
now prob that the eight throw is six is
1
/
6
.
so the final required probability is
7
C
2
(
1
/
6
)
2
(
5
/
6
)
5
1
/
6
.
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