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Sock Drawer

Probability puzzles require you to weigh all the possibilities and pick the most likely outcome.

 

Puzzle ID:#3445
Fun:*** (2.28)
Difficulty:** (1.68)
Category:Probability
Submitted By:neo1**
Corrected By:MarcM1098

 

 

 



There are 10 socks of each of the following colors in a drawer: blue, green, red, yellow & white, for a total of 50 socks. If the socks are randomly distributed in the drawer (i.e. not in pairs or any other grouping), and you are blindfolded, what is the minimum number socks you must draw from the drawer in order to be certain you have at least 2 socks of the same color?

If you are in the same situation as in the preceding problem, how many socks must you draw from the drawer in order to be certain you have at least 2 socks of different colors?


Answer

The answer for the first part is 6 socks and the answer for the second part is 11.
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