Quiz lecture 7

Probabilistic Logic Programming

Truth tables are to propositional logic as _____ is to probabilistic logic programming.

grounding model counting selective linear definite (SLD) clause resolution binary decision diagramming

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Loaded dice

Alice and Bob play (for fun!) with loaded dice. Probabilities are as follows:
6/33::die1(1) ; 10/33::die1(2) ; 3/33::die1(3) ; 7/33::die1(4) ; 2/33::die1(5) ; 5/33::die1(6).
1/31::die2(1) ; 10/31::die2(2) ; 1/31::die2(3) ; 6/31::die2(4) ; 6/31::die2(5) ; 7/31::die2(6).
What is the probability that the sum of both dice is 7 (rounded to the nearest %)?

15% 16% 17% 18%

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Boy or girl paradox

Here is a famous paradox in probabilities. "A couple has 2 children. One of them is a girl. What is the probability that the other one is a boy? Answer: 2/3." The point here is not to explain the paradox but to model it in ProbLog. Given the following program:
:- use_module(library(lists)).
1/2::child(N, boy); 1/2::child(N, girl).
children(A,B) :- child(1, A), child(2,B).
has_girl :- children(A,B), member(girl, [A,B]).
has_boy :- children(A,B), member(boy, [A,B]).
two_girls :- children(girl, girl).
evidence(has_girl).
What is the query that will return the answer?

query(child(2,boy)). query(has_boy). query(child(1,boy)). query(child(1,boy); child(2,boy)).

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