Artists often represent abstract concepts with human personifications. Are painters more likely to use a person of the same gender as the grammatical gender of the word describing that concept in their own language? (Unlike English, many languages use grammatical gender: a noun is masculine, feminine, or sometimes neutral. Some words that have masculine gender in one language may have feminine gender in another language. For example, the word for “sin” is feminine in German but masculine in Russian.) A survey of such artworks (Segel and Borodistsky 2011) found 548 female representations of abstract concepts in art and 217 male representations. Of the artworks with female representations, 82.8% were concepts described by a word having female grammatical gender in the artist’s native language. Of the artworks with male representations, 65.9% addressed concepts described by words with male grammatical gender.

What is the probability that a randomly chosen artwork has a concept described by a word with the same grammatical gender as the personification?