According to a survey conducted by an environmental organization,the probability that an eligible voter cares about environmental issues is 0.58,the probability that an eligible voter voted in the last election is 0.41 and the probability that an eligible voter both voted in the last election and cares about environmental issues is 0.27.Are caring about environmental issues and voting in the last election independent events?
A)Yes,the probability that a voter cares about environmental issues and voted in the last election is zero.
B)Yes,P(Cares for environment and Voted)= P(Cares for environment)∙ P(Voted)
C)No,41% of all voters voted in the last election,but among those who care about environmental issues 46.6% voted in the last election.
D)Yes,the probability that a voter cares about environmental issues is the same as the probability that a voter cares about environmental issues given that they voted in the last election.
E)No,27% both care about environmental issues and voted in the last election

Question

Quizplus · Accepted Answer

Two events A and B are said to be independent if the occurrence of one event does not affect the probability of the other event. In this case, if caring about environmental issues and voting in the last election were independent events, then P(Cares for environment and Voted) would be equal to P(Cares for environment) * P(Voted). However, since the probability of voting in the last election changes depending on whether or not someone cares about environmental issues (as stated in answer C), these events are not independent. Therefore, the correct answer is C.

According to a Survey Conducted by an Environmental Organization,the Probability