Since A’s and B’s guesses are identically accurate, it seems most sensible to take the average in order to be closest to the truth. And even if you were A or B, if you want to be closest to the truth, you should do the same.
Why not add them together, and declare yourself 90% sure that it is an oak tree?
Or rather, since simply adding them together may get you outside the [0, 1] range, why not convert it to log odds, subtract off the prior to obtain the evidence, and add the evidence together, add back in the prior, and then convert it back to probabilities?
Why not add them together, and declare yourself 90% sure that it is an oak tree?
Or rather, since simply adding them together may get you outside the [0, 1] range, why not convert it to log odds, subtract off the prior to obtain the evidence, and add the evidence together, add back in the prior, and then convert it back to probabilities?