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To find the probability that a student chosen randomly from the class has a brother and a sister, we first need to find how many students have both a brother and a sister. From the given data table, there are 6 students who have a brother and a sister.
The total number of students in the class is 6 + 7 + 3 + 5 = 21.
Therefore, the probability that a student chosen randomly from the class has a brother and a sister is:
Probability = Number of students with a brother and a sister / Total number of students
Probability = 6 / 21
Probability = 2 / 7
Therefore, the probability that a student chosen randomly from the class has a brother and a sister is 2/7 or approximately 0.2857.