Given the sets A = [2, 4, 6, 8] and B = [2, 3, 5,...

WAEC 2008

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

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Correct Answer: Option D

Explanation

\(\begin{array}{c|c} x & 2 & 3 & 5 & 9 \\ \hline 2 & 4 & 6 & 10 & 18 \\ \hline 4 & 8 & 12 & 20 & 36 \\ \hline 6 & 12 & 18 & 30 & 54 \\ \hline 8 & 16 & 24 & 40 & 72 \end{array}\)

Note: A {vertical}

B {horizontal}

Pr (Odd Product) = \(\frac{0}{16}\)

= 0

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