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How to find the probability using the Bayes' theorem.

A test on zoology is to be given next week.  Presume 75 percent of the students study for the test and 25 percent don't.  If a student revisions for the exam and the probability that he or she will pass is 0.90.  If the student doesn't study and the probability that he or she will pass is 20 percent. Given that the student passed the test and what is the probability that he or she studied? [HINT- create a tree diagram and use Bayes' theorem formula regarding conditional probability.

Find P(s), P(ns), P(p|s),P(p|ns).]

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