Ten people were asked if they have a brother or sister. This Venn diagram shows the results. A person is randomly chosen from those shown in the Venn diagram.Let event A = The person has a sister.Let event B = The person has a brother.What does P(B|A) = 0.50 mean in terms of the Venn diagram?A.Of the 10 people surveyed, 5 of these have only a brother or only a sister.B.Of the 4 people who have a sister, 2 of these also have a brother.C.Of the 10 people surveyed, 5 of these have a brother.D.Of the 4 people who have a brother, 2 of these also have a sister.SUBMITarrow_backPREVIOUS
Question
Ten people were asked if they have a brother or sister. This Venn diagram shows the results. A person is randomly chosen from those shown in the Venn diagram.Let event A = The person has a sister.Let event B = The person has a brother.What does P(B|A) = 0.50 mean in terms of the Venn diagram?A.Of the 10 people surveyed, 5 of these have only a brother or only a sister.B.Of the 4 people who have a sister, 2 of these also have a brother.C.Of the 10 people surveyed, 5 of these have a brother.D.Of the 4 people who have a brother, 2 of these also have a sister.SUBMITarrow_backPREVIOUS
Solution
The statement P(B|A) = 0.50 refers to the probability of event B (the person has a brother) given that event A (the person has a sister) has already occurred. In terms of the Venn diagram and the options provided, this means that "Of the people who have a sister, half of these also have a brother." Therefore, the correct answer is B. "Of the 4 people who have a sister, 2 of these also have a brother."
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