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I think this review problem involves Bayes Theorem but was stuck on how to approach it....

I think this review problem involves Bayes Theorem but was stuck on how to approach it. Could you please guide me on how to approach this type of problem? Thank you!

Without reading the syllabus, David will make you furious by asking a question already addressed in the syllabus with probability 0.8. If David reads the syllabus and goes to class, he will still ask a question already addressed in the syllabus with probability 0.15. You have some trust in David and believe that he will read the syllabus with probability 0.9.

(a) What is the probability that the student will ask a question already addressed in the syllabus?

(b) If the student asks a question already addressed in the syllabus, what is the probability that they did not read the syllabus?

Math   Statistics-And-Probability   
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Answer #1

The given theorem is based on the Bayes Theorem on conditional probability.

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