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At the end of his Bachelor's degree in civil engineering, a student applies for the three following jobs: A: Municipal Draftsman, B: Building Technician, and

At the end of his Bachelor's degree in civil engineering, a student applies for the three following jobs: A: Municipal Draftsman, B: Building Technician, and C: Geotechnical Technician. He estimates that his chances of obtaining an offer for job A are 50%, for job B, 40% and for job C, 20%. Moreover, his chances of getting an offer for jobs A and B are 10%; for A and C, 4%, for B and C, 3%; and for A, B and C, 1%. 1. What is the probability that this student will not get any offers? 2. What is the probability that this student will get an offer for A but not for B nor for C?

3. If the student received an offer for A or for C, what is the probability that he did not receive an offer for B?

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