We doubt that Julius is gray. It is certain that Brian is a frog. We doubt that Greg is a rhino. There is little chance that if 'Brian is a frog' or 'Greg is a rhino' or both then Bernhard is yellow. It is almost certain that if either 'Julius is gray' or 'Brian is a frog' but not both then Mary took the football. It is probably the case that if either 'Brian is a frog' or 'Julius is gray' but not both then John dropped the apple.
It is unlikely that 'Greg is a rhino and Mary took the football'.
It is unlikely that 'Greg is a rhino and Mary took the football'.
It is likely that 'Greg is a rhino and Mary took the football'.

  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
  0.2::factA.
  1.0::factB.
  0.2::factC.
  %hop1
  0.1::factX:-or(factB,factC).
  0.95::factY:-xor(factA,factB).
  0.7::factZ:-xor(factB,factA).

  %hop2
  conclusion:-and(factC,factY).

  query(conclusion).
  
'Greg is a rhino and Mary took the football'.