Australian AMC 2011 - Intermediate Question 16

Question 16

The six faces of a dice are numbered $-3,-2,-1,0,1,2$. If the dice is rolled twice and the two numbers are multiplied together, what is the probability that the result is negative?

$\frac12$
$\frac14$
$\frac{11}{36}$
$\frac{13}{36}$
$\frac13$