To determine the possibility of finding the Milky Way from any random point in the observable universe, several factors need to be considered. Firstly, the sheer scale of the universe is immense, encompassing billions of galaxies spanning roughly 93 billion light-years across. The Milky Way is just one galaxy among this vast multitude, significantly reducing the probability of recognizing it without prior knowledge of your location.

Assuming some form of highly advanced technology or theoretical instantaneous travel were available to traverse these distances, identifying the Milky Way would require knowledge of its unique celestial landmarks. These include its spiral structure, estimated size, distinctive position of its spiral arms, and proximity to known celestial companions such as the Andromeda Galaxy and the Local Group of galaxies.

Astrophysical assistance would also be necessary: a comprehensive map of local galaxies, an understanding of large-scale cosmic microwave background radiation, and data about the universe’s expansion – to gauge distances accurately. Without this, distinguishing the Milky Way from countless other spiral galaxies could be challenging.

Furthermore, identifying light signatures and elemental compositions typical to the Milky Way might help, but these could be similar to other galaxies. Hence, the ability to recognize celestial markers and use advanced technologies would be pivotal to ensure an accurate location determination within the expanse of the universe. Therefore, without highly specialized tools and knowledge, finding the Milky Way from a random point in the universe would be nearly impossible.