If x, y can take values from the set (1, 2, 3, 4), find the probability that the product of x and y is not greater than 6

A.
(frac{5}{8}) 
B.
(frac{5}{16}) 
C.
(frac{1}{2}) 
D.
(frac{3}{8})
Correct Answer: Option A
Explanation
(begin{vmatrix}& hline 1 & 2 & 3 & 4\hline 1 & 1 & 2& 3 & 4\2 & 2& 4 & 6 & 8\ 3& 3& 6& 9 & 12\4 & 4 & 8 & 12& 16end{vmatrix})
p (product of x, and y (leq) 6) = (frac{10}{16})
= (frac{5}{8})