Given the sets A = [2, 4, 6, 8] and B = [2, 3, 5, 9]. If a number is picked at random from each of the two sets, what is the probability that their difference is 6 or 7?
A
\(\frac{1}{256}\)
B
\(\frac{1}{16}\)
C
\(\frac{1}{8}\)
D
\(\frac{1}{2}\)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
\(\begin{array}{c|c} - & 2 & 3 & 5 & 9 \\ \hline 2 & 0 & 1 & 3 & 7 \\ \hline 4 & 2 & 1 & 1 & 5\\ \hline 6 & 4 & 3 & 1 & 3 \\ \hline 8 & 6 &5 & 3 & 1 \end{array}\)
Note: A {horizontal}
B {vertical}
Pr(Difference of 6 or 7) = \(\frac{2}{16} = \frac{1}{8}\)
Source: Myschool Past Questions Archive (Record #36400)