With the given Sudoku puzzle, is it possible to apply the Bayes theorem to get the probability of the circled cell being an 8? How much would that be?
As you can see from the two mayor cells above the number 8 has to be in one of the two minor cells at the far right column in the mayor cell at the bottom. So that would result in a chance of $\frac{1}{5}$ that the circled cell is an 8, as there are 5 cells unfilled. Now with the knowledge above, it would be $\frac{1}{2}$. Either an 8 or a different remaining digit.
I solved the puzzle and it's actually the 8. As it felt like it would definitely be the 8 before I even started the puzzle, I'm wondering if chances are actually higher than $\frac{1}{2}$ for the marked cell to be the 8.
Any help/explanation appreciated!