A hunter has 2 hunting dogs.
One day, on the trail of some animal, the hunter comes to a place where the road diverges into two paths. He knows that each dog, independent of the other, will choose the correct path with probability p. The hunter decides to let each dog choose a path, and if they agree, take that one, and if they disagree, to randomly pick a path. Is his strategy better than just letting one of the two dogs decide on a path?
interesting question. though i'm unable to conclude a way to answer your question, i have a feeling that this could be more than probability. it appeared as though it was a decision making problem... have listed the possibilities in the image below....
i thought the problem was to decide which of the two methods was better. now i see it..
the third offshoot from the centre was to analyse the second method by letting one of them pick a given way...
As alexmahone posted it, both methods turned out to have the same outcome.
A thought-provoking problem.