College Professorship A Ph.D. graduate has applied for a job with two colleges: A and B . The graduate feels that she has a 60% chance of receiving an offer from college A and a 50% chance of receiving an offer from college B . If she receives an offer from college B , she believes that she has an 80% chance of receiving an offer from college A . Let A = receiving an offer from college A , and let B = receiving an offer from college B . {College Professorship Narrative} What is the probability that at least one college will make her an offer?
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