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College Professorship ​

Question 58

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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 both colleges will make her an offer?

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