This is getting painful. Bayes' theorem isn't 'science'; it's a formal way to adjust predictions based on limited observations. To the extent that 'science' is a set of predictions about the world, then it's useful in that area.
Yes, statistics and probability are pretty intertwined, and if you are using 'tea leaves' as a proxy for randomness - that's got a place, too.
Also "reational' - really? This is Medium, not BirdChan.