Rahul is getting ready for school he has five pairs of black socks and seven pairs of white socks. he picks up a white sock without looking .what is the probability that the next sock that he pulls out will be black ?
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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 12110
The chance of picking two equal socks is the sum of these probabilities, that is: 54110
This simplifies to 2755
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