1) The student is enrolled in Biology, Chemistry and Physics, the student spent 50% time in Biology, 30% time in Chemistry and the rest of the time is spent in Physics. Despite all the time the student spend in the courses, the student has 2% chance of fail in Biology, 4% chance of fail in Chemistry and 3% chance of fail in Physics.
a) Determine the probability of the student will fail one of the courses.
b) If a student fail a course determine the probability that the course was Biology.
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