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$A sociology teacher asked her students to complete a survey at the beginning of the year. One survey question asked, "Do you consider yourself responsible?" Another question asked, "How many siblings do you have?" Irresponsible Responsible 0 siblings 4 3 1 or more siblings 5 3 What is the probability that a randomly selected student has 1 or more siblings or is responsible? Simplify any fractions.$

A sociology teacher asked her students to complete a survey at the beginning of the year. One survey question asked,

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Independence and conditional probability

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Q. A sociology teacher asked her students to complete a survey at the beginning of the year. One survey question asked,

Question Prompt: question_prompt: What is the probability that a randomly selected student has $1$ or more siblings or is responsible?
Total Students Surveyed: Total number of students surveyed: $4$ (irresponsible with $0$ siblings) + $3$ (responsible with $0$ siblings) + $5$ (irresponsible with $1$ or more siblings) + $3$ (responsible with $1$ or more siblings) = $15$ students.
Students with Siblings: Number of students with $1$ or more siblings: $5$ (irresponsible) + $3$ (responsible) = $8$ students.
Responsible Students: Number of students who are responsible: $3$ (with $0$ siblings) + $3$ (with $1$ or more siblings) = $6$ students.
Probability Calculation: Probability of selecting a student with $1$ or more siblings or responsible: $(\text{Number of students with } 1 \text{ or more siblings} + \text{Number of responsible students}) / \text{Total number of students}$ . But wait, we counted the responsible students with $1$ or more siblings twice, so we need to subtract them once.
Corrected Probability: Corrected probability calculation: $(8 + 6 - 3) / 15 = 11 / 15$ .

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