A sociology teacher asked her students to complete a survey at the beginning of the year. One survey question asked, "How responsible are you?" Another question asked, "How many siblings do you have?" The probability that a student is responsible is 0.3, the probability that a student has 3 or more siblings is 0.8 and the probability that a student is responsible and has 3 or more siblings is 0.2. What is the probability that a randomly chosen student is responsible or has 3 or more siblings?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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A sociology teacher asked her students to complete
a survey at the beginning of the year. One survey
question asked, "How responsible are you?" Another
question asked, "How many siblings do you have?"
The probability that a student is responsible is 0.3,
the probability that a student has 3 or more siblings
is 0.8 and the probability that a student is
responsible and has 3 or more siblings is 0.2.
What is the probability that a randomly chosen
student is responsible or has 3 or more siblings?
Transcribed Image Text:A sociology teacher asked her students to complete a survey at the beginning of the year. One survey question asked, "How responsible are you?" Another question asked, "How many siblings do you have?" The probability that a student is responsible is 0.3, the probability that a student has 3 or more siblings is 0.8 and the probability that a student is responsible and has 3 or more siblings is 0.2. What is the probability that a randomly chosen student is responsible or has 3 or more siblings?
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