Mach zhender interforometer (round 2).

[MathematicalPhysicist]

problem statement
two questions from my exam about MZI.
in the attached file there's a picture of the settings while the dots there represent the machines that keep give photons.
the questions in both of the settings is what percentage of the photons from the machines both get to A, both get to B or one go to A the other to B, or in symbols what are the percetange that come to AA,BB,AB.
while the splitters have the next characateristic:
|UP>->(1/sqrt2)(|UP>+|DOWN>
|DOWN>->(1/SQRT2)(|UP>-|DOWN>)
and the photons are identical i.e we have next identity:
|down1>|up2>=|up1>|down2>

my answers
for the first setting in the pic i got, that p(AB)=1,p(BB)=0,P(AA)=0
for the second setting in the pic i got: p(AB)=0,p(AA)=p(BB)=1/2

so what do you think another wrong answers?
thanks in advance.

 

[MathematicalPhysicist]

here's the pic:

the picture.