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Despite the negative test result, you still that think it would not be wise to take the risk of driving your car until you have

Despite the negative test result, you still that think it would not be wise to take the risk of driving your car until you have more reliable evidence. So, you ask your mechanic to run the same test again. Once again, the test says that there is no problem (~P). Use Bayes' Rule to revise your updated degree of belief that there is something wrong with your car in light of this new evidence. In other words, what is the Pr(W|~P2)?

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