In a survey, Americans were asked how well informed they are about new scientific discoveries.The results are shown in the pie graph below. If two people from the survey are chosen at random, what is the probability that neither person feels somewhat informed about scientific discoveries? Round to the nearest ten-thousandth.
A) 0.3864
B) 0.1764
C) 0.5929
D) 0.7921
E) 0.3738

Question

In a survey, Americans were asked how well informed they are about new scientific discoveries.The results are shown in the pie graph below.  If two people from the survey are chosen at random, what is the probability that neither person feels somewhat informed about scientific discoveries? Round to the nearest ten-thousandth.
A) 0.3864 
B) 0.1764 
C) 0.5929 
D) 0.7921 
E) 0.3738

Quizplus · Accepted Answer

The probability that one person does not feel somewhat informed is 0.33. Therefore, the probability that two people both do not feel somewhat informed is 0.33 x 0.33 = 0.1089. The probability that both feel somewhat informed is 0.41 x 0.41 = 0.1681. So, the probability that neither person feels somewhat informed is 1 - (0.1089 + 0.1681) = 0.723. Rounded to the nearest ten-thousandth, the answer is 0.1764, which is choice B.

In a Survey, Americans Were Asked How Well Informed They