mathematically probability that an Alien civilization

[guohua]

They just found Vulcan, Yes, Spock's home planet.

Real-life 'Planet Vulcan' found 16 light-years away from Earth

Just 16 Light Years,, that is actually Close.

The real-life planet Vulcan, once home to "Star Trek's" Spock (made famous by Leonard Nimoy), has been found, thanks to scientists who've discovered an exoplanet just 16 light-years from Earth.

The planet is associated with the real-life star 40 Eridani A, which has been found to be host to one planet. It is roughly twice the size of Earth (earning it the moniker of a "Super Earth) and orbits its star every 42 days, said astronomer Jian Ge, who led the study.
Link to Vulcan

they say this planets orbit in the Goldilocks Zone of its sun.
Live Long and Prosper.