In a class of students, the following data table summarizes how many students have a brother or a sister. What is the probability that a student chosen randomly from the class has a sister?Has a brother Does not have a brotherHas a sister 8 4Does not have a sister 2 6
Question
In a class of students, the following data table summarizes how many students have a brother or a sister. What is the probability that a student chosen randomly from the class has a sister?Has a brother Does not have a brotherHas a sister 8 4Does not have a sister 2 6
Solution
To find the probability that a student chosen randomly from the class has a sister, we need to follow these steps:
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Identify the total number of students in the class:
- Students who have both a brother and a sister: 8
- Students who have a sister but not a brother: 4
- Students who have a brother but not a sister: 2
- Students who have neither a brother nor a sister: 6
Total number of students = 8 + 4 + 2 + 6 = 20
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Identify the number of students who have a sister:
- Students who have both a brother and a sister: 8
- Students who have a sister but not a brother: 4
Total number of students who have a sister = 8 + 4 = 12
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Calculate the probability: The probability that a student chosen randomly from the class has a sister is the number of students who have a sister divided by the total number of students.
Probability = (Number of students who have a sister) / (Total number of students) = 12 / 20 = 3 / 5
So, the probability that a student chosen randomly from the class has a sister is 3/5.
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