There aren't unlimited numbers of planets. There's a limit to what came out of the big bang, though there are many planets.
Then if you take into account all the things that have to be just right about our planet to support advanced life, while things have to be just right about our host star (sun), while things have to be just right about other planets (i.e. Jupiter is just big enough and just close enough to be a protective big brother pulling harmful asteroids into its large gravity well to protect us from life extinction events while being far away enough and small enough to not cause lots of tectonic activity on earth or mess up our orbit), while things have to be just right in our galaxy (i.e. we're in a window of the Milky Way galaxy in that we're not near too many stars with excessive cosmic radiation).
Even if there are billions of planets (which is what I believe too) the odds of there being a just right planet in a just right star system of a just right window of a just right galaxy, with all the many parameters required for each of those is still almost non-existent.
Once you realize all the fine tuning needed just for Earth to be right for advanced life, then you realize that the odds are against not just Earth's existence but also any other earth-like planet existing. There had to have been a Creator.
Once you realize that, then the question of if there is advanced life on another planet becomes not a question of how many planets are there for random chance to do its thing, but if God made another earth-like planet. I don't have the answer to that question.
A couple of thoughts.
We have no idea how many planets exist, so we can’t know if the number is unlimited or if new planets are still being formed somewhere out there.
You mentioned the big bang as the beginning, how do we know that ?? The idea of a big bang is a scientific theory which has not been definitively proven.
If God creates Earth like planets then he must have created the big bang as well.
If the Big Bang did happen and was the start of our current universe, how do we know there wasn’t something before the Big Bang or if they’re multiple universes, questions that will never be answered scientifically.
I agree the chances of intelligent life somewhere else are extremely small, which is why I believe they exist.
The shear number of galaxies and stars and planets that exist, there has to be a few that have intelligent life, probably many more than we can probably imagine.
What’s to say that intelligent life looks similar to humans, we have no idea how things might have evolved on another planet somewhere out there.
Even if there are billions of planets (which is what I believe too) the odds of there being a just right planet in a just right star system of a just right window of a just right galaxy, with all the many parameters required for each of those is still almost non-existent.
***I find it very frustrating because when I try to look at the updated Drake Equation parameters, everyone plugs in the most optimistic numbers.
For instance, this article
https://exoplanets.nasa.gov/news/1350/are-we-alone-in-the-universe-revisiting-the-drake-equation/
generates “one part in 10 to the 22nd power.” 10^-22.
That’s a very very small number. And it pretends like Coppedge never calculated the chance of a single polypeptide molecule forming into an Amino Acid over a 14 billion year life span as 10^-23, where there needs to be hundreds of thousands of these for a single cell life to form, so the chances are 10^-22 X 10^-23 X 10^-5 which is about 10^-50 even with optimistic approaches but much much worse with realistic approaches.
Mathematically, the definition of impossible is, you guessed it, 10^-50.
You don’t seem to have many answers at all. It’s clear you don’t have a clue. But, nice try with the disinfo.