@KFrank
Thanks again for the thoughtful response!



 KFrank:

Under these assumptions, is seems to me that your “HomeRecovery”
label is exactly equivalent to “Not Hospitalized” and “Not Deceased.”


Point taken.  How, then, should I calculate a “HomeRecovery” likelihood after the fact?  I can’t really assume independence between “Hospitalized” and “Deceased”, so simple methods e.g.
P(HomeRec) = 1 - P(Hosp U Deceased)

won’t work.  Or am I thinking about it wrong?
EDIT: Technically, I realize I AM, in many ways, “thinking about it wrong”, not least by interpreting the outputs of my model as probabilities, but those reservations aside, any idea how the math should work?  
Thanks again!
–SEH