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A board has 16 squares as shown in the figure: Out of these 16 squares, two squares are chosen at random. The probability that they have no side in common is :

Options

  1. A7/10
  2. B4/5
  3. C23/30
  4. D3/5

Correct answer

B. 4/5

Step-by-step solution

aligned & Total = ¹⁶ C ₂ & Required ways = Total - (adjacent square) & = ¹⁶ C ₂- & [3 pair in vertical & horizontal for & each row and column] & = ¹⁶ C₂-[3 4+3 4] & =96 & Probability = 96 120 = 4 5 aligned

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