6. [-/12.5 Points] DETAILS WANEFMAC7 8.6.018. MY NOTES 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 35% of the seniors who do go on to a career in physics still fail the test. Further, 70% 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.) 7. [-/12.5 Points] DETAILS WANEFMAC7 8.6.029. MY NOTES In a survey in a certain year of married couples with earnings, 96% of all husbands were employed. Of all employed husbands, 77% of their wives were also employed. Noting that either the husband or wife in a couple with earnings had to be employed, find the probability that the husband of an employed woman was also employed. (Round your answer to four decimal places.)