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The Messy Girl

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

 

Puzzle ID:#748
Fun:*** (2.34)
Difficulty:** (1.27)
Category:Probability
Submitted By:rkb-1961*
Corrected By:lifeisgood812

 

 

 



A messy girl had 24 socks in the drawer at her bedroom. There are 6 pairs of red socks, 5 pairs of green socks, and 1 pair of blue ones, but all the socks are mixed up. One night she wanted to go out and went to her bedroom for a pair of socks. As she turned on the light, the lamp didn't work, so she had to find her socks in complete darkness.

What's the smallest number of socks she had to take downstairs to be sure to have a matching pair?


Answer

She only had to take 4 socks downstairs. If the first 3 she took were all of a different color, the 4th must match with one of the others.
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