In a certain habitat, animals live in groups of two and groups…

In a certain habitat, animals live in groups of two and groups of three. Each time a new animal arrives at the habitat, it randomly chooses a group. If the chosen group has two animals in it, the new animal joins the group forming a group of three animals. If the chosen group has three animals in it, the new animal takes one of the animals away from the group of three and forms a separate group of two animals. If initially there are five animals in the habitat, and new animals arrive one at a time, what is the probability that the fourth new animal joins a group of two animals?

AQuA-RAT — Algebra Question Answering with Rationales (Ling et al., DeepMind, 2017) · train #90589