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OpenStudy (anonymous):
There are three exam tickets on the table. Student takes one of the three. Every ticket has 3 questions, which means there are 9 questions in total. Questions are unique. Student knows 6 questions. Student passes the exam if : 1) student knows at least 2 questions from a ticket. 2) student knows exactly one question from given ticket and knows the answers to the two extra questions given from the other tickets. What is the probability that the student passes the exam? What is the probability the student had to answer extra questions if it is known that the student passed the exam?
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