THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

question 301

Essay

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A student has access to professor evaluations.Overall,he has enjoyed 70% of all classes he has taken.He finds that of the courses he has enjoyed,13% were taught by professors with poor evaluations.84% of the courses he has taken were taught by professors with good evaluations.
-What is the probability that the student enjoyed the class given that it was taught by a professor with good evaluations?

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Definitions:

Deductive Step

A logical step in which a conclusion follows necessarily from the given premises, ensuring that if the premises are true, the conclusion must also be true.

Illicit Major

In syllogistic logic, an error occurring when the major term is undistributed in the premise but distributed in the conclusion.

Undistributed Middle

A logical fallacy in a categorical syllogism where the middle term is not adequately linked or distributed to both the major and minor terms, leading to an invalid argument.

Argument By Analogy

A reasoning method where one infers that two things are similar in one aspect, so they are probably similar in another.