Assuming that you fail the test, what is the probability that you will not go on to a career in physics?

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Academic Testing Professor Frank Nabarro insists that all senior physics majors take his notorious physics aptitude test. The test is so tough that anyone not going on to a career in physics has no hope of passing, whereas 45% of the seniors who do go on to a career in physics still fail the test. Further, 85% of all senior physics majors in fact 90 on to a career in physics. Assuming that you fail the test, what is the probability that you will not go on to a career in physics? (Round your answer to four decimal places.)

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