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

A

8C3 5568\frac { 5 ^ { 5 } } { 6 ^ { 8 } }

B

C

D

None

Answer

Explanation

Solution

Third six occurs on 8th trial. It means that in first 7 trials we must exactly 2 sixes and 8th trial must result in a six.

⇒ Required probability = 7C2. (1/6)2. (5/6)5. (1/6) = 7C2⋅5568\frac { { } ^ { 7 } C _ { 2 } \cdot 5 ^ { 5 } } { 6 ^ { 8 } }