Remember, though, that even fixing both P(E) and P(H), you can still make the ratio P(E|H)/P(E|~H) anything you want; the equation
a = bx + (1-b)(cx)
is guaranteed to have a solution for any a,b,c.
Remember, though, that even fixing both P(E) and P(H), you can still make the ratio P(E|H)/P(E|~H) anything you want; the equation
a = bx + (1-b)(cx)
is guaranteed to have a solution for any a,b,c.