Final answer:
The animal associated with the genre of tragedy in ancient Greek society is the goat. The word 'tragedy' itself comes from the Greek words for 'goat' and 'song,' linked to Dionysian festivals.
Step-by-step explanation:
The animal associated with the genre of tragedy in ancient Greek society is the goat. This association is related to the word 'tragedy' itself, which is believed to stem from the Greek words tragos meaning 'goat' and oide meaning 'song.' Thus, tragedy can be thought of as 'goat song.' This relationship is tied to the Dionysian festivals where the tragedy genre originated; dithyrambs, or choral hymns, were sung in honor of Dionysus and could involve satyrs who were half-human, half-goat. These performances evolved into what we now recognize as the dramatic form of tragedy, with famous ancient Greek tragedians like Aeschylus, Sophocles, and Euripides.