Given that there’s over 200 billion Galaxies in our universe it’s pretty much statistically impossible that we’re alone. Now whether there is intelligent life elsewhere is a whole other conversation.
Not necessarily. There are actually some studies that suggest that the likelihood of life—let alone highly intelligent life—emerging in a star system is 1 in “more than the number of stars in the universe.”
In other words, there are some scientists/statisticians who believe that that emergence of life in one solar system out of 200,000,000,000^200,000,000,000 is statistically impossible. Earth by this metric is an outlier. You can attribute that to the shortfalls of statistics, God, whatever suits your fancy.
Also your supposition that statistics prove the existence of life but not intelligent life is kind of odd. If you’re going to make up a stat to prove that life exists elsewhere, why not go one step further and claim evidence that intelligent life must have evolved elsewhere in the last 300B years?