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For The Mathematically Inclined

Anil Saigal
02/16/2017

Problem 1:

You have 6 black socks and 6 white socks in a drawer.  They are exactly same except color.  You need to pick up a pair of socks without looking into the drawer.  What is the minimum number of socks you need to draw to be certain that you have a pair of matching socks. 

Problem 2:
In the problem above, what is the minimum  socks you need to draw so that you more than 50% certain that you have all black socks?
 
 
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Please send your solutions anil@lokvani.com. 

Use Problem Solutions M-021617 as the subject line. Please include your full name in the text of the main message. Everyone with the right answer will be acknowledged in the next issue of Lokvani. 

Please do not post your solution in Post Comments. No credit will be given for solutions not sent to anil@lokvani.com. 

If you need clarification on any problem, please contact anil@lokvani.com. 

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Problems from 02/02/17

Problem 1:
In a certain country of 5 = 3. If the same proportion holds, what is the value of 1/3 of 10?

Problem 2:
Three brothers live in a farm. They agreed to buy new seeds: Adam and Ben would go and Charlie stayed to protect fields. Ben bought 75 sacks of wheat in the market whereas Adam bought 45 sacks. At home, they split the sacks equally. Charlie had paid 1400 dollars for the wheat. How many dollars did Ben and Adam get of the sum, considering equal split of the sacks?


Congratulations to Ramachandran Balakrishna and Avani Bhargava, who were winners of the last set of puzzles.



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