A science teacher presented a balloon to her class, and posed the question, "If I keep this balloon in the freezer overnight, what will occur?" She followed up with, "How certain are you of your answer?" The teacher recorded her students' responses. The probability that a student believes the balloon will shrink is 0.7, the probability that a student was certain is 0.3 and the probability that a student believes the balloon will shrink and was certain is 0.2. What is the probability that a randomly chosen student believes the balloon will shrink or was certain?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A science teacher presented a balloon to her class, and posed the question, "If I keep this balloon in the freezer overnight, what will occur?" She followed up with, "How certain are you of your answer?" The teacher recorded her students' responses.
The probability that a student believes the balloon will shrink is 0.7, the probability that a student was certain is 0.3 and the probability that a student believes the balloon will shrink and was certain is 0.2.
What is the probability that a randomly chosen student believes the balloon will shrink or was certain?
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