People Were Asked Three Questions: Do You Support the President's

question 11

Multiple Choice

People were asked three questions: Do you support the president's economic policy? Do you support the president's foreign policy? Do you support the president's social policy? Let E, F, and S denote the sets of persons responding yes to the first, second, and third questions, respectively. The results of the survey are shown in the Venn diagram below. The numbers represent the percent of respondents. What percent of people agree with the president's social policy?

• A) 58 %
• B) 34 %
• C) 49 %
• D) 20 %
• E) 16 %

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Definitions:

P(A)

The probability of event A occurring in a statistical context.

Complement

In mathematics, a complement refers to the elements not in the subset of interest within a given set. In general language, it means something that completes or goes well with something.

P(A And B)

The probability that events A and B both occur.

P(A Or B)

The probability that at least one of two events, A or B, will occur.