That equation you quoted is in branch 2, “2. Omega is a “nearly perfect” predictor. You assign P(general) a value very, very close to 1.” So it IS correct, by stipulation.
That equation you quoted is in branch 2, “2. Omega is a “nearly perfect” predictor. You assign P(general) a value very, very close to 1.” So it IS correct, by stipulation.