How do i compute this? Answer should be 0.1163

A professor 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 40% 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: Use a Tree Diagram or Bayes' Theorem]

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