A number is chosen at random from the numbers 10 to 99 . By seeing the number a man will…

Mathematics · JEE Advanced · NTA ExamsStatistics and Probability

A number is chosen at random from the numbers 10 to 99 . By seeing the number a man will laugh if product of the digits is 12 . If he choose three numbers with replacement then the probability that he will laugh at least once is
  1. \(1-\left(\frac{3}{5}\right)^{3}\)
  2. \(\left(\frac{43}{45}\right)^{3}\)
  3. \(1-\left(\frac{4}{25}\right)^{3}\)
  4. \(1-\left(\frac{43}{45}\right)^{3}\)

Answer

(D) 1- ( 43 45 )^ 3

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