P(E) = P(E|H) P(H) + P(E|~H)P(~H)
The quantities P(H), P(E|H), and P(E|~H) are in general independent of each other, in the sense that you can move any one of them without changing the others—provided you adjust P(E) accordingly.
Thanks, that helps. See how I apply that point in my reply to Psy-Kosh here.
P(E) = P(E|H) P(H) + P(E|~H)P(~H)
The quantities P(H), P(E|H), and P(E|~H) are in general independent of each other, in the sense that you can move any one of them without changing the others—provided you adjust P(E) accordingly.
Thanks, that helps. See how I apply that point in my reply to Psy-Kosh here.