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AP EAMCET202315 May 2023Evening ShiftMathematicsProbabilityActual

From a collection of eight cards numbered 1 to 8 , if two cards are drawn at random, one after the other with replacement, then the probability that the product of numbers that appear on the cards is a perfect square is

Options

  1. A3 14
  2. B6 13
  3. C3 16
  4. D1 16

Correct answer

C. 3 16

Step-by-step solution

Let A= (1,1),(1,4),(2,2),(2,8),(3,3)(4,1) , (4,4),(5,5),(6,6),(7,7),(8,2),(8,8) Whose product is square number P(A)= 12 64 = 3 16

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