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You are applying for graduate school at University A. In the past 42% of the applicants to this university have been accepted. It is also known that 70% of those students who have been accepted have had GMAT scores in excess of 550 while 40% of the students who were not accepted had GMAT scores in excess of 550. You take the GMAT exam and score 640. What is the probability that you will be accepted into graduate school of university A?
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