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
\(\frac{3}{8}\)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\(\begin{vmatrix}& \hline 1 & 2 & 3 & 4\\\hline 1 & 1 & 2& 3 & 4\\2 & 2& 4 & 6 & 8\\ 3& 3& 6& 9 & 12\\4 & 4 & 8 & 12& 16\end{vmatrix}\)
p (product of x, and y \(\leq\) 6) = \(\frac{10}{16}\)
= \(\frac{5}{8}\)
Source: Myschool Past Questions Archive (Record #30758)