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Question: A fair dice is tossed eight times. The probability that a third 6 is observed on 8<sup>th</sup> thro...

A fair dice is tossed eight times. The probability that a third 6 is observed on 8th throw, is

A

7C2×55(6)7\frac { { } ^ { 7 } C _ { 2 } \times 5 ^ { 5 } } { ( 6 ) ^ { 7 } }

B

7C2×55(6)8\frac { { } ^ { 7 } C _ { 2 } \times 5 ^ { 5 } } { ( 6 ) ^ { 8 } }

C

7C2×55(6)6\frac { { } ^ { 7 } C _ { 2 } \times 5 ^ { 5 } } { ( 6 ) ^ { 6 } }

D

None of these

Answer

7C2×55(6)8\frac { { } ^ { 7 } C _ { 2 } \times 5 ^ { 5 } } { ( 6 ) ^ { 8 } }

Explanation

Solution

6,6,6,6,6,6,66,6 , \overline { 6 } , \overline { 6 } , \overline { 6 } , \overline { 6 } , \overline { 6 } 8th throw = 6 Ž 3rd

P =