It is impossible that Jessica is a cat. It is highly likely that Julius is a lion. It is improbable that Mary went to the bedroom. It is almost certain that if either 'Jessica is a cat' or 'Mary went to the bedroom' but not both then John got the apple. It is unlikely that if 'Julius is a lion' or 'Jessica is a cat' or both then Bernhard is a rhino. It is highly likely that if 'Jessica is a cat and Julius is a lion' then Sandra left the milk.
There is a very good chance that either 'Julius is a lion' or 'John got the apple' but not both.
There is a very good chance that either 'Julius is a lion' or 'John got the apple' but not both.
It is impossible that either 'Julius is a lion' or 'John got the apple' but not both.

  and(A,B) :- A,B.
  or(A,B) :- A;B.
  nand(A,B) :- not(and(A,B)).
  nor(A,B) :- not(or(A,B)).
  xor(A,B) :- or(A,B), nand(A,B).

  %hop0
  0.0::factA.
  0.9::factB.
  0.1::factC.
  %hop1
  0.95::factX:-xor(factA,factC).
  0.2::factY:-or(factB,factA).
  0.9::factZ:-and(factA,factB).

  %hop2
  conclusion:-xor(factB,factX).

  query(conclusion).
  
Either 'Julius is a lion' or 'John got the apple' but not both.