One has to be careful how one does these things.

For example, if you are considering what zero divided by zero is, it matters whether you look at x/0 as x tends to 0, 0/y as y tends to zero, t/t as t tends to zero, or various permutations with approaching it from the negative direction. If you do a 3D plot of z = x / y, you see the whole picture.

The chance of Omega making an incorrect prediction isn't the only variable in the problem. It is just the one that's most often concentrated upon.