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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 ?
Correct answer is '2'. Can you explain this answer?
Verified 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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A man wears socks of two colours - Black and brown. He has altogether ...
Introduction:
This is a probability problem that requires us to determine the minimum number of socks a man needs to pick from a drawer containing 20 black socks and 20 brown socks in order to be sure that he has a matching pair. Since he is picking socks in the dark, he cannot differentiate between the colors of the socks.
Understanding the problem:
To solve this problem, we need to consider the worst-case scenario, where the man picks socks in a way that maximizes the number of different colors he selects before getting a matching pair. We want to find the minimum number of socks he needs to pick to guarantee a matching pair.
Analysis:
Let's consider the worst-case scenario where the man picks socks in a way that maximizes the number of different colors he selects before getting a matching pair.
Step 1:
In the worst-case scenario, the man can pick any colored sock at his first attempt.
Step 2:
In the second attempt, he needs to pick a sock of a different color than the one he picked in the first attempt. This ensures that he has two different colored socks.
Step 3:
In the third attempt, he needs to pick a sock of a color that matches one of the two socks he already picked. This guarantees that he has a matching pair.
Conclusion:
Therefore, the man needs to pick a minimum of two socks to be sure that he has a matching pair. In the worst-case scenario, he will end up with two different colored socks in the first two attempts and a matching pair in the third attempt.
This is a probability problem that requires us to determine the minimum number of socks a man needs to pick from a drawer containing 20 black socks and 20 brown socks in order to be sure that he has a matching pair. Since he is picking socks in the dark, he cannot differentiate between the colors of the socks.
Understanding the problem:
To solve this problem, we need to consider the worst-case scenario, where the man picks socks in a way that maximizes the number of different colors he selects before getting a matching pair. We want to find the minimum number of socks he needs to pick to guarantee a matching pair.
Analysis:
Let's consider the worst-case scenario where the man picks socks in a way that maximizes the number of different colors he selects before getting a matching pair.
Step 1:
In the worst-case scenario, the man can pick any colored sock at his first attempt.
Step 2:
In the second attempt, he needs to pick a sock of a different color than the one he picked in the first attempt. This ensures that he has two different colored socks.
Step 3:
In the third attempt, he needs to pick a sock of a color that matches one of the two socks he already picked. This guarantees that he has a matching pair.
Conclusion:
Therefore, the man needs to pick a minimum of two socks to be sure that he has a matching pair. In the worst-case scenario, he will end up with two different colored socks in the first two attempts and a matching pair in the third attempt.
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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 ?Correct answer is '2'. Can you explain this answer?
Question Description
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 ?Correct answer is '2'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about 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 ?Correct answer is '2'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 ?Correct answer is '2'. Can you explain this answer?.
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 ?Correct answer is '2'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about 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 ?Correct answer is '2'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 ?Correct answer is '2'. Can you explain this answer?.
Solutions for 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 ?Correct answer is '2'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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