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Bunuel
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What we need ? Total number of folks who dint say yes to both Q1 and Q2 in terms of P

ie : Q1N*Q2Y + Q1Y*Q2N + Q1N*Q2N

Q1N*Q2Y + Q1N*Q2N = 3/5P
Q1Y*Q2N = 4/15P

3/5 + 4/15 = 13/15P (E)

I wanted to draw a table with Q1Y Q2Y and Q1N and Q2N but could not align it properly
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Bunuel
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?

A. 2/15*P
B. 3/5*P
C. 3/4*P
D. 5/6*P
E. 13/15*P

The number of people who answered yes to both questions is (2/5)P x 1/3 = (2/15)P, so (13/15)P did not answer yes to both questions.

Answer: E
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Doesn't "did not answer yes to both questions" mean answer no to Q1 and Q2? I'm very confused.
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I feel the same. Hence I ended up marking 3/5 as the answer.

ska7wn
Doesn't "did not answer yes to both questions" mean answer no to Q1 and Q2? I'm very confused.
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MayankJain23
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?

A. 2/15*P
B. 3/5*P
C. 3/4*P
D. 5/6*P
E. 13/15*P

I feel the same. Hence I ended up marking 3/5 as the answer.

ska7wn
Doesn't "did not answer yes to both questions" mean answer no to Q1 and Q2? I'm very confused.

"...the number of people polled who did not answer 'yes' to both questions" means all cases except (Yes, Yes). This includes (No, No), (No, Yes), and (Yes, No).
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