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On your first pick, the chance of picking a white sock is  711  (there are  11  socks in total). On the next selection, the chance of picking white is  610  ( 1  white sock has been removed). So the chance of  2  whites is  711×610  which is  42110

Similarly, the chance of picking two blacks is  411×310  which is  12/110

The chance of picking two equal socks is the sum of these probabilities, that is:  54/110

This simplifies to  27/55