Probability of Picking 2 Black Socks

There was a blind man. He had four socks in his drawer that were either black or white. He opened it and took out two socks. Now the probability that it was a pair of white socks is 1/2.

Can you find out the probability of picking 2 black socks?

Answer

The probability of taking out a pair of black socks is zero.

If there’s a white pair and black pair of socks, there would have been three cases: black pair, white pair, mixed pair. This would give a probability of 1/3 for a pair of white socks. But then, it is stated that the probability of white socks is 1/2 or only 2 possibilities. This means there that there was no black pair. We can conclude that there were three white socks and one black sock.

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