Chances are slight that Mary left the football. It is impossible that John picked up the apple. It is probably the case that Jessica is a mouse. Chances are slight that if either 'John picked up the apple' or 'Jessica is a mouse' but not both then Bernhard is yellow. It is certain that if 'Jessica is a mouse and Mary left the football' then Brian is a frog. It is probable that if either 'Jessica is a mouse' or 'John picked up the apple' but not both then Julius is white.
It is unlikely that 'Jessica is a mouse' or 'John picked up the apple' or both.
It is likely that 'Jessica is a mouse' or 'John picked up the apple' or both.
It is unlikely that 'Jessica is a mouse' or 'John picked up the apple' or 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
  0.1::factA.
  0.0::factB.
  0.7::factC.
  %hop1
  0.1::factX:-xor(factB,factC).
  1.0::factY:-and(factC,factA).
  0.7::factZ:-xor(factC,factB).

  %hop2
  conclusion:-or(factC,factB).

  query(conclusion).
  
'Jessica is a mouse' or 'John picked up the apple' or both.