In a nationwide poll, P people were asked 2 questions. If 2/5 answered “yes” to question 1, and of those 1/3 also answered “yes” to question 2, which of the following represents the number of people polled who did not answer “yes” to both questions? Choose the correct answer:
A) 2/15*P  B) 3/5*P  C) 3/4*P  D) 5/6*P  E) 13/15*P
no of people polled who did not answer “yes” to both questions = P - no of people polled who answered “yes” to both questions   no of people who answered yes for the 2nd question = 1/3 * 2/5 * P = 2/15*P   no of people polled who did not answer “yes” to both questions = P - 2/15*P = 13/15*P   Hence, 13/15*P will be the answer.
<result>E</result>
In a nationwide poll, P people were asked 2 questions. If 2/5 answered “yes” to question 1, and of those 1/3 also answered “yes” to question 2, which of the following represents the number of people polled who did not answer “yes” to both questions?