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A box contains tickets numbered 1 to N . n tickets are drawn from the box with replacement. The probability that the largest number on the tickets is k , is

Options

  1. Ak N n
  2. Bk - 1 N n
  3. C0
  4. DNone of these

Correct answer

D. None of these

Step-by-step solution

Number of ways of selecting n tickets from N tickets numbered from 1 to N with replacement = N n Now, the largest number on selected tickets must be k . Hence, favorable cases = k n − ( k − 1 ) n Therefore, required probability = k n − ( k − 1 ) n N n

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