Can I obtain the probability formula from a boolean formula only translating and operator by the multiplication operator; and the xor operator by the sum operator?
For example Pr[(a and b) xor c = 1] = Pr[a=1]*Pr[b=1]+Pr[c=1]?
EDIT
In case no, are there any general rules to get the probability expression using the boolean formula? (Suppose events totally independent)