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In a drawer there are 5 black socks and 3 green socks. Two socks are picked randomly one after the other without replacement. What is the possibility that both the socks are black?

  • A.5/14
  • B.5/8
  • C.3/8
  • D.5/16

Answer: A

Without replacement, the second draw sees one fewer sock of each relevant kind.

\[ P = \frac{5}{8} \times \frac{4}{7} = \frac{20}{56} = \frac{5}{14} \]

Using \( \tfrac{5}{8} \) twice would assume replacement and give \( \tfrac{25}{64} \).

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