The numbers \(a, b,\) and \(c\) are chosen at random, with replacement, from the set of integers from \(1\) to \(20,\)

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The numbers \(a, b,\) and \(c\) are chosen at random, with replacement, from the set of integers from \(1\) to \(20,\) inclusive. What is the probability that \(ab - c\) is odd?

A. \(\dfrac18\)

B. \(\dfrac14\)

C. \(\dfrac38\)

D. \(\dfrac12\)

E. \(\dfrac34\)

Answer: D

Source: Veritas Prep