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

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

Answer Details

$\left|\begin{array}{ccccc}& 1& 2& 3& 4\\ 1& 1& 2& 3& 4\\ 2& 2& 4& 6& 8\\ 3& 3& 6& 9& 12\\ 4& 4& 8& 12& 16\end{array}\right|$
P (product of x and y not greater than 6) = $\frac{10}{16}$
= $\frac{5}{8}$