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
-
\(\frac{5}{8}\)
- \(\frac{5}{16}\)
- \(\frac{1}{2}\)
- \(\frac{3}{8}\)
The correct answer is: A
Explanation
\(\begin{vmatrix}& \hline 1 & 2 & 3 & 4\\\hline 1 & 1 & 2& 3 & 4\\2 & 2& 4 & 6 & 8\\ 3& 3& 6& 9 & 12\\4 & 4 & 8 & 12& 16\end{vmatrix}\)
p (product of x, and y \(\leq\) 6) = \(\frac{10}{16}\)
= \(\frac{5}{8}\)