In a survey of 1000 adults conducted in 2012, the following question was asked:

Question

In a survey of 1000 adults conducted in 2012, the following question was asked: Will humans walk on Mars in the next 25 years? The results of the survey are summarized in the following table Very Somewhat Not very Not at all likely likely ikely 340 likely 90 Not sure 80 Respondents 210 280 If a respondent in the survey is chosen at random, what is the probability that he or she answered with the following? ) It is very likely or somewhat likely that humans will walk on Mars in the next 25 years. (b) It is not very likely or not at all likely that humans will walk on Mars in the next 25 years

Explanation / Answer

Since the responses are equally likely and independent.

a) P(very likely or somewhat likely ) = P(very likely )+P(somewhat likely ) = 0.210+0.280 =0.49

b) P( very likely or not at all likely ) = P(very likely )+P( not at all likely ) = 0.210+0.09 =0.30

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