In a drawer with two different colors of socks, drawing three socks guarantees a matching pair due to the Pigeonhole Principle.
The reason why one must draw only three socks to find a matching pair in a drawer containing two different colors of socks is because of the Pigeonhole Principle. With only two colors, drawing three socks guarantees at least two socks of the same color. For example, if there are red and blue socks, drawing three socks can result in either all red socks or two socks of the same color (red or blue).
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