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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 95 of all senior physics majors in fact go 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 HINT See Example 3
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