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A man wears socks of two colours - Black and brown. He has altogether 20 black socks and 20 brown socks in a drawer. Supposing he has to take out the socks in the dark, how many must he take out to be sure that he has a matching pair?
  • a)
    3
  • b)
    20
  • c)
    39
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A man wears socks of two colours - Black and brown. He has altogether ...


Explanation:

Scenario:
- The man has 20 black socks and 20 brown socks in a drawer.
- He needs to take out socks in the dark.

To ensure a matching pair, the man must take out at least 3 socks:
- The worst-case scenario for the man would be if he first picks out 2 socks of different colors.
- In this case, the next sock he picks will definitely match one of the socks he already has.
- Therefore, he needs to take out 3 socks to be sure that he has a matching pair.

Therefore, the correct answer is option A) 3.
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Community Answer
A man wears socks of two colours - Black and brown. He has altogether ...
Since there are socks of only two colours, so two out of any three socks must always be of the same colour.
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