In a nationwide poll, p people were asked 2 questions. If 2/5 of them answered 'yes' to question 1, 1 and of those 1/3 also answered 'yes' to 3 question 2, which of the following represents the number of people polled who did not answer 'yes' to both questions?

A. \(p-\frac{2p}{5}\)

B. \(\frac{13p}{15}\)

C. \(\frac{13p}{3}\)

D. \(\frac{2p}{15}\)

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Explanation: P People \(\times \frac{2}{5} = \frac{2P}{5}\) answered yes to q1 \(\frac{2P}{5} \times \frac{1}{3} = \frac{2P}{15}\) answered yes to q 1 and q2 \(\therefore P - \frac{2P}{15} = \frac{13P}{15}\) did not answer yes to both questions