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 product is odd?
A
1
B
\(\frac{3}{4}\)
C
\(\frac{1}{4}\)
D
zero
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
\(\begin{array}{c|c} x & 2 & 3 & 5 & 9 \\ \hline 2 & 4 & 6 & 10 & 18 \\ \hline 4 & 8 & 12 & 20 & 36 \\ \hline 6 & 12 & 18 & 30 & 54 \\ \hline 8 & 16 & 24 & 40 & 72 \end{array}\)
Note: A {vertical}
B {horizontal}
Pr (Odd Product) = \(\frac{0}{16}\)
= 0
Source: Myschool Past Questions Archive (Record #36399)