5. In Madeline's dresser, there is a mix of different colored socks: 5 red socks, 7 blue socks, 7 green socks, and 4 yellow socks. Without looking at what she's taking, what is the minimum number of socks Madeline has to grab in order to guarantee that she has at least 4 socks of the same color?



Answer :

Final answer:

To ensure Madeline has at least 4 socks of the same color, she needs to grab 11 socks due to the Pigeonhole Principle.


Explanation:

To guarantee that Madeline has at least 4 socks of the same color, she needs to grab 11 socks. This can be explained by the Pigeonhole Principle, which states that if there are n+1 items to be placed into n boxes, then at least one box will contain more than one item.


Learn more about Probability and Pigeonhole Principle here:

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