Why was the snowman looking through the carrots?

The joke “Why was the snowman looking through the carrots? He was picking his nose” plays on the dual meaning of the phrase “picking his nose.” Typically, “picking his nose” refers to the somewhat unsavory act of someone using a finger to remove mucus from their nostrils. However, snowmen, which are often built during winter for fun, traditionally have a carrot for a nose. The humor arises from the image of a snowman being sentient and sifting through a selection of carrots to choose one as his nose, much like a person might pick their nose.