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In a drawer there are 4 white socks, 3 blue socks and 5 grey socks. Two socks are picked randomly. What is the possibility that both the socks are of same color?

Correct answer: D. 19/66

  • A. 4/11
  • B. 1
  • C. 2/33
  • D. 19/66

Explanation

There are 12 socks, so the total number of pairs is C(12,2) = 66. Same-colour pairs are C(4,2) + C(3,2) + C(5,2) = 6 + 3 + 10 = 19, giving probability 19/66. The likely wrong choice is 4/11, which does not count the possible pairs correctly.

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