Not a Monty Hall Problem

Suppose your friend, Aira, is on a game show, and she's given the choice of three doors: Behind one door is a car; behind the others, goats.

Aira pick a door, and the host, who knows what's behind the doors, opens another door, which has a goat.

After this, you walk into the game. You know which door Aira picked, and you can see the revealed goat.

Now, you are to choose a door between the two unopened doors. What is the probability of you choosing the door with the car?

(Round your answer to the nearest hundredth if needed)