A fair die is tossed eight times. The probability that a third six is observed in eight throw is `( ^7C_(10)xx5^7)/(6^7)` b. `( ^7C_2xx5^2)/(6^8)` c.

Question

A fair die is tossed eight times. The probability that a third six is observed in eight throw is ^7C10×57 67 b. ^7C2×52 68 c. ^7C2×55 66 d. none of these A. .7C2×55 67 B. .7C2×55 68 C. .7C2×55 66 D. none of these Select the correct answer from above options

Answer 1

Correct Answer - B Clearly, Requried Probability = . 7 ( C ) 2 ( 1 6 ) 2 ( 5 6 ) 5 × 1 6 =