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Question 2In a group of students 25% are enrolled in physics, 23% in sociology, 17% in chemistry, 14% in political science, 12% in anthropology, and 9% in math. You are going to select an individual from the group of students. The probability of event A is equivalent to the probability that you select someone who studies social science (sociology, political science and anthropology) or physics. What is the probability of the event A’s complement?1 point0.510.260.490.74

Question

Question 2In a group of students 25% are enrolled in physics, 23% in sociology, 17% in chemistry, 14% in political science, 12% in anthropology, and 9% in math. You are going to select an individual from the group of students. The probability of event A is equivalent to the probability that you select someone who studies social science (sociology, political science and anthropology) or physics. What is the probability of the event A’s complement?1 point0.510.260.490.74

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Solution

The probability of event A is the sum of the probabilities of selecting a student studying sociology, political science, anthropology, or physics. This is 23% + 14% + 12% + 25% = 74%.

The complement of an event is the probability that the event does not occur. Since the total probability of all events is 100%, the probability of the complement of event A is 100% - 74% = 26%.

So, the probability of the event A’s complement is 0.26.

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