What Are the Odds Out Out of a Billion Yellow Dwarfs?

I was just thinking about that, what are the odds that we're the only intelligent life in the universe? So when i was young, i didn't know much about anything. I had a sort of, you know, earth centric view of the universe. And then as i learnt more and i really got my head around a billion trillion stars, or whatever the number was back when i first sort hof conceived of it, i thought, well, there must be infinite life,. Because that's the nature of infinity, even the slightest chance of a thing must repeat infinitely. Let's say for every stable yellow dwarf, life spontaneously erupted, one in a billion times, right? So