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Question

A fair die is tossed eight times. Probability that on the eighth throw a third six is observed is

A
8C35868
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B
7C25568
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C
7C25567
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D
None of these
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Solution

The correct option is B 7C25568
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 7C2(1/6)2(5/6)5.
now prob that the eight throw is six is 1/6.
so the final required probability is 7C2(1/6)2(5/6)51/6.

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