Question
In a class of 29 students, 19 have a brother and 11 have a sister. There are 4 students who have a brother and a sister. What is the probability that a student chosen randomly from the class has a sister?
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GPT 3.5
To find the probability that a student chosen randomly from the class has a sister, we need to consider the total number of students who have a sister.
First, we know that there are 11 students who have a sister, and 4 of them also have a brother. So, we need to subtract those 4 students from the total to avoid double-counting.
Therefore, the total number of students who have only a sister is 11 - 4 = 7.
The probability that a student chosen randomly from the class has a sister is the number of students with a sister divided by the total number of students in the class:
Probability = (Number of students with a sister) / (Total number of students)
Probability = 7 / 29
Probability ≈ 0.2414 or 24.14%
So, the probability that a student chosen randomly from the class has a sister is approximately 0.2414 or 24.14%.
First, we know that there are 11 students who have a sister, and 4 of them also have a brother. So, we need to subtract those 4 students from the total to avoid double-counting.
Therefore, the total number of students who have only a sister is 11 - 4 = 7.
The probability that a student chosen randomly from the class has a sister is the number of students with a sister divided by the total number of students in the class:
Probability = (Number of students with a sister) / (Total number of students)
Probability = 7 / 29
Probability ≈ 0.2414 or 24.14%
So, the probability that a student chosen randomly from the class has a sister is approximately 0.2414 or 24.14%.
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