A fair die is tossed eight times. The probability that a third six is observed on the…

Mathematics · JEE Main · NTA ExamsStatistics and Probability

A fair die is tossed eight times. The probability that a third six is observed on the eight throw, is
  1. \(\frac{{ }^{7} C_{2} \times 5^{5}}{6^{7}}\)
  2. \(\frac{{ }^{7} C_{2} \times 5^{5}}{6^{8}}\)
  3. \(\frac{{ }^{7} C_{2} \times 5^{5}}{6^{5}}\)
  4. None of these

Answer

(A) ^ 7 C_ 2 5^ 5 6^ 7

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