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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
  • a)
  • b)
  • c)
    0
  • d)
    None of these
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A box contains tickets numbered 1 to N. n tickets are drawn from the b...
Since the tickets are drawn with replacement, the same ticket may be repeated. Since the largest ticket is k, the tickets chosen are from 1 to k.
Total no. of ways of doing it = kn

However, k may or may not have been drawn.
No. of ways of choosing numbers from 1 to (k - 1) = (k - 1)n

Thus, no of ways in which the maximum no, drawn is k=kn−(k−1)n
Therefore, probability  = 
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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 isa)b)c)0d)None of theseCorrect answer is option 'D'. Can you explain this answer?
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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 isa)b)c)0d)None of theseCorrect answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about 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 isa)b)c)0d)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 isa)b)c)0d)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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